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Author ID: lu.guozhen Recent zbMATH articles by "Lu, Guozhen"
Published as: Lu, Guozhen; Lu, Guo Zhen; Lu, G.
Homepage: https://www2.math.uconn.edu/~guozhenlu/
External Links: MGP · Wikidata · Google Scholar · GND · IdRef
all top 5

Co-Authors

18 single-authored
37 Lam, Nguyen
29 Chen, Lu
16 Yang, Qiaohua
16 Zhu, Maochun
11 Han, Yongsheng
11 Li, Jungang
11 Tang, Hanli
11 Zhang, Lu
10 Flynn, Joshua
9 Wheeden, Richard Lee
8 Chen, Jiao
8 Wang, Peiyong
8 Zhu, Jiuyi
7 Cohn, William S.
7 Dai, Wei
7 Ding, Wei
6 Franchi, Bruno
6 Han, Xiaolong
5 Tao, Chunxia
5 Zhu, Yueping
4 Lu, Shanzhen
4 Ruan, Zhuoping
4 Wei, Juncheng
4 Yang, Yunyan
4 Zhang, Caifeng
3 Cui, Xiaoyue
3 Do Ó, João M. Bezerra
3 Dong, Mengxia
3 Hong, Qing
3 Huang, Liang
3 Li, Ji
3 Liu, Yongping
3 Sawyer, Eric T.
3 Wang, Jianxiong
2 Buckley, Stephen M.
2 Chen, Shaohua
2 Ding, Yong
2 Do, Anh Xuan
2 Dong, Yuxin
2 Hart, Jarod V.
2 Koskela, Pekka
2 Manfredi, Juan J.
2 Pérez, Carlos
2 Shen, Yansheng
2 Stroffolini, Bianca
2 Xiao, Yayuan
1 Ahmad, Shair
1 Ambrosetti, Antonio
1 Baldi, Annalisa
1 Bao, Jiguang
1 Burchard, Almut
1 Cazacu, Cristian M.
1 Chanillo, Sagun
1 Chen, Xinfu
1 D’Ambrosio, Lorenzo
1 Dao, Anh Nguyen
1 Dao, Nguyen Anh
1 Ferrari, Fausto
1 Fu, Jixiang
1 Gao, Lingtian
1 Garofalo, Nicola
1 He, Danqing
1 Hofmann, Steve
1 Huang, Qingbo
1 Iosevich, Alex
1 Juutinen, Petri
1 Lanconelli, Ermanno
1 Li, Junfeng
1 Li, Xia
1 Liang, Xining
1 Lin, Chincheng
1 Lin, Yan
1 Liu, Ying
1 Liu, Zongguang
1 Luo, Xiang
1 Ma, Bolin
1 Mazumdar, Saikat
1 Miao, Qianyun
1 Mitrea, Dorina
1 Mitrea, Marius
1 Nguyen Tuan Duy
1 Ou, Biao
1 Park, Bae Jun
1 Pipher, Jill Catherine
1 Rabinowitz, Paul Henry
1 Shaw, Mei-Chi
1 Shen, Jiawei
1 Sheng, Weimin
1 Sun, Lijing
1 Wang, Xiaoming
1 Wang, Xumin
1 Wolff, Thomas H.
1 Wu, Xinfeng
1 Xu, Xingwang
1 Xue, Ying
1 Yan, Lixin
1 Yang, Dachun
1 Zhang, Lu
1 Zhang, Pu
1 Zhao, Kai
...and 3 more Co-Authors
all top 5

Serials

19 Advanced Nonlinear Studies
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 The Journal of Geometric Analysis
12 Forum Mathematicum
12 Calculus of Variations and Partial Differential Equations
11 Advances in Mathematics
10 Acta Mathematica Sinica. English Series
9 Journal of Functional Analysis
8 Revista Matemática Iberoamericana
7 Journal of Differential Equations
5 Communications on Pure and Applied Analysis
4 Indiana University Mathematics Journal
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 Publicacions Matemàtiques
4 Potential Analysis
3 Mathematische Zeitschrift
3 Communications in Partial Differential Equations
3 Mathematical Research Letters
3 Discrete and Continuous Dynamical Systems
3 Mathematical Sciences Research Hot-Line
2 American Journal of Mathematics
2 Canadian Mathematical Bulletin
2 Memoirs of the American Mathematical Society
2 Differential and Integral Equations
2 Analysis & PDE
2 Advanced Lectures in Mathematics (ALM)
1 Analysis Mathematica
1 Communications on Pure and Applied Mathematics
1 Studia Mathematica
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Journal of Approximation Theory
1 Mathematische Annalen
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Ricerche di Matematica
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Approximation Theory and its Applications
1 Constructive Approximation
1 International Journal of Mathematics
1 IMRN. International Mathematics Research Notices
1 Panamerican Mathematical Journal
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Archive of Applied Mechanics
1 Applied Mathematics. Series B (English Edition)
1 Electronic Journal of Differential Equations (EJDE)
1 Methods and Applications of Analysis
1 Electronic Research Announcements of the American Mathematical Society
1 The Journal of Fourier Analysis and Applications
1 Communications on Applied Nonlinear Analysis
1 Vietnam Journal of Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 European Journal of Mechanics. A. Solids
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Science China. Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Applied and Numerical Harmonic Analysis

Publications by Year

Citations contained in zbMATH Open

189 Publications have been cited 3,793 times in 1,536 Documents Cited by Year
Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates. Zbl 1232.42018
Hofmann, Steve; Lu, Guozhen; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin
181
2011
Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\). Zbl 1236.35050
Lam, Nguyen; Lu, Guozhen
106
2012
A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. Zbl 1294.46034
Lam, Nguyen; Lu, Guozhen
103
2013
Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition and applications. Zbl 0804.35015
Lu, Guozhen
99
1992
Best constants for Moser-Trudinger inequalities on the Heisenberg group. Zbl 1019.43009
Cohn, William S.; Lu, Guozhen
96
2001
Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications. Zbl 1278.42033
Lam, Nguyen; Lu, Guozhen
89
2012
Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069
Lam, Nguyen; Lu, Guozhen
73
2014
Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290
Lu, Guozhen; Zhu, Jiuyi
64
2011
Representation formulas and weighted Poincaré inequalities for Hörmander vector fields. Zbl 0820.46026
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L.
64
1995
The sharp Poincaré inequality for free vector fields: An endpoint result. Zbl 0860.35006
Lu, Guozhen
62
1994
Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
60
2017
Inhomogeneous infinity Laplace equation. Zbl 1152.35042
Lu, Guozhen; Wang, Peiyong
59
2008
Sharp constant and extremal function for the improved Moser-Trudinger inequality involving \(L^p\) norm in two dimension. Zbl 1182.35093
Lu, Guozhen; Yang, Yunyan
53
2009
A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type. Zbl 0856.43006
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L.
53
1996
Convex functions on the Heisenberg group. Zbl 1072.49019
Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca
50
2004
Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
47
2014
A PDE perspective of the normalized infinity Laplacian. Zbl 1157.35388
Lu, Guozhen; Wang, Peiyong
45
2008
Adams’ inequalities for bi-Laplacian and extremal functions in dimension four. Zbl 1172.46021
Lu, Guozhen; Yang, Yunyan
45
2009
Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026
Lu, Guozhen; Yang, Qiaohua
42
2017
Sharp constants for Moser-Trudinger inequalities on spheres in complex space \(\mathbb C^n\). Zbl 1063.35060
Cohn, William S.; Lu, Guozhen
41
2004
Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013
Lu, Guozhen; Yang, Qiaohua
40
2019
Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations. Zbl 0873.35006
Lu, Guozhen
39
1996
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026
Li, Jungang; Lu, Guozhen; Zhu, Maochun
39
2018
An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004
Lu, Guozhen; Zhu, Jiuyi
39
2012
\(N\)-Laplacian equations in \(\mathbb R^N\) with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049
Lam, Nguyen; Lu, Guozhen
39
2013
Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
37
2018
Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035
Lu, Guozhen; Tang, Hanli
37
2013
Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031
Lu, Guozhen; Tang, Hanli
37
2016
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
37
2014
Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010
Chen, Jiao; Lu, Guozhen
34
2014
Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026
Dong, Mengxia; Lu, Guozhen
33
2016
Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\). Zbl 1259.46029
Lam, Nguyen; Lu, Guozhen
33
2012
Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039
Lu, Guozhen; Zhang, Pu
32
2014
A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029
Lu, Guozhen; Yang, Qiaohua
30
2016
Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035
Lam, Nguyen; Lu, Guozhen
30
2017
Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027
Dong, Mengxia; Nguyen Lam; Lu, Guozhen
30
2018
Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups. Zbl 0973.46020
Lu, Guozhen
29
2000
Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\). Zbl 1271.42017
Ding, Yong; Han, Yongsheng; Lu, Guozhen; Wu, Xinfeng
29
2012
Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type. Zbl 1011.22004
Cohn, William S.; Lu, Guo Zhen
28
2002
Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
28
2019
Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005
Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi
27
2012
Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\). Zbl 1397.35097
Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng
27
2018
Sharp singular Adams inequalities in high order Sobolev spaces. Zbl 1319.46027
Nguyen Lam; Lu, Guozhen
27
2012
Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
26
2019
On nonuniformly subelliptic equations of \(Q\)-sub-Laplacian type with critical growth in the Heisenberg group. Zbl 1282.35139
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
26
2012
Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth. Zbl 1245.35064
Lam, Nguyen; Lu, Guozhen
26
2012
Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035
Han, Yongsheng; Li, Ji; Lu, Guozhen
25
2013
Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals. Zbl 1192.42014
Ding, Yong; Lu, Guo Zhen; Ma, Bo Lin
24
2010
Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035
Lu, Guozhen; Tang, Hanli
24
2016
Convex functions on Carnot groups. Zbl 1124.49024
Juutinen, Petri; Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca
23
2007
Best constants for Adams’ inequalities with the exact growth condition in \({\mathbb R}^n\). Zbl 1352.46034
Lu, Guozhen; Tang, Hanli; Zhu, Maochun
23
2015
Discrete Calderón’s identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces. Zbl 1193.42090
Han, Y.; Lu, G.; Zhao, K.
23
2010
Infinity Laplace equation with non-trivial right-hand side. Zbl 1194.35194
Lu, Guozhen; Wang, Peiyong
23
2010
Geometric Hardy’s inequalities with general distance functions. Zbl 1473.35014
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
23
2020
Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group. Zbl 1309.42032
Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi
23
2012
Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421
Dai, Wei; Liu, Zhao; Lu, Guozhen
23
2017
Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025
Ding, Wei; Lu, Guozhen
22
2016
Existence and nonexistence of positive radial solutions for a class of semilinear elliptic systems. Zbl 0934.34011
Chen, Shaohua; Lu, Guozhen
22
1999
\(L^p\) estimates for multi-linear and multi-parameter pseudo-differential operators. (Estimations \(L^p\) pour les opérateurs pseudo-différentiels multilinéaires et multiparamètres.) Zbl 1335.47033
Dai, Wei; Lu, Guozhen
22
2015
A Fefferman-Phong type inequality for degenerate vector fields and applications. Zbl 0878.35050
Lu, Guozhen
22
1996
Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018
Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T.
22
2013
Axial symmetry and regularity of solutions to an integral equation in a half-space. Zbl 1239.45005
Lu, Guozhen; Zhu, Jiuyi
22
2011
Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024
Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping
22
2013
\(L^{p}\) boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024
Hong, Qing; Lu, Guozhen; Zhang, Lu
21
2018
Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces. Zbl 1007.46034
Liu, Yongping; Lu, Guozhen; Wheeden, Richard L.
21
2002
Duality of multiparameter Hardy spaces \(H^{p}\) on spaces of homogeneous type. Zbl 1213.42073
Han, Yongsheng; Li, Ji; Lu, Guozhen
21
2010
Multi-parameter local Hardy spaces. Zbl 1418.42038
Ding, Wei; Lu, Guozhen; Zhu, YuePing
21
2019
Singular integrals and commutators on homogeneous groups. Zbl 1026.43007
Lu, Guozhen; Lu, Shanzhen; Yang, Dachun
21
2002
Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. Zbl 1451.46036
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
20
2020
Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025
Lu, Guozhen; Ruan, Zhuoping
20
2014
A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\). Zbl 1432.35081
Lu, Guozhen; Zhu, Maochun
20
2019
Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. Zbl 1372.46027
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
20
2017
Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type. Zbl 0916.46026
Lu, Guozhen
19
1998
Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups. Zbl 0910.26007
Lu, Guozhen
19
1997
Boman equals John. Zbl 0861.43007
Buckley, S.; Koskela, P.; Lu, Guozhen
19
1996
The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations. Zbl 1254.35063
Cohn, William S.; Lam, Nguyen; Lu, Guozhen; Yang, Yunyan
19
2012
Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111
Hong, Qing; Lu, Guozhen
19
2014
On Harnack’s inequality for a class of strongly degenerate Schrödinger operators formed by vector fields. Zbl 0827.35032
Lu, Guozhen
18
1994
High order representation formulas and embedding theorems on stratified groups and generalizations. Zbl 0974.46039
Lu, Guozhen; Wheeden, Richard L.
18
2000
Embedding theorems on Campanato-Morrey spaces for vector fields and applications. Zbl 0842.46019
Lu, Guozhen
18
1995
Some recent works on multiparameter Hardy space theory and discrete Littlewood-Paley analysis. Zbl 1201.42016
Han, Yongsheng; Lu, Guozhen
18
2010
Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326
Chen, Lu; Liu, Zhao; Lu, Guozhen
18
2016
Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034
Chen, Lu; Lu, Guozhen; Tao, Chunxia
18
2019
Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
18
2019
Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
17
2018
An optimal representation formula for Carnot-Carathéodory vector fields. Zbl 0931.31003
Lu, Guozhen; Wheeden, Richard L.
17
1998
A sharpened Moser-Pohozaev-Trudinger inequality with mean value zero in \(\mathbb R^2\). Zbl 1179.58010
Lu, Guozhen; Yang, Yunyan
16
2009
Existence and size estimates for the Green’s functions of differential operators constructed from degenerate vector fields. Zbl 0798.35002
Lu, Guozhen
16
1992
On a Sobolev inequality with remainder terms. Zbl 0961.35100
Lu, Guozhen; Wei, Juncheng
16
2000
Simultaneous representation and approximation formulas and high-order Sobolev embedded theorems on stratified groups. Zbl 1070.46024
Lu, Guozhen; Wheeden, Richard L.
16
2004
Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations. Zbl 0841.46018
Franchi, B.; Lu, G.; Wheeden, R. L.
16
1995
Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Zbl 1261.42030
Lu, Guo Zhen; Zhu, Yue Ping
16
2013
Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in \(\mathbb{R}^n\). Zbl 1479.35264
Chen, Lu; Lu, Guozhen; Zhu, Maochun
15
2021
Concentration-compactness principle for Trudinger-Moser’s inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument. Zbl 1486.46039
Li, Jungang; Lu, Guozhen; Zhu, Maochun
15
2021
Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications. Zbl 1129.22007
Cohn, William S.; Lu, Guozhen; Wang, Peiyong
15
2007
Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces. Zbl 1440.42104
Ding, Wei; Lu, Guozhen; Zhu, Yueping
15
2019
Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds. Zbl 1482.46040
Li, Jungang; Lu, Guozhen
14
2021
Stein-Weiss inequalities with the fractional Poisson kernel. Zbl 1459.35006
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
14
2020
The Moser-Trudinger and Adams inequalities and elliptic and subelliptic equations with nonlinearity of exponential growth. Zbl 1317.35018
Lam, Nguyen; Lu, Guozhen
14
2012
Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators. Zbl 1401.42013
Hong, Qing; Lu, Guozhen
14
2018
Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials. Zbl 1506.35093
Chen, Lu; Lu, Guozhen; Zhu, Maochun
3
2023
Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group. Zbl 1523.35272
Chen, Lu; Lu, Guozhen; Zhu, Maochun
2
2023
Multi-parameter Hardy spaces theory and endpoint estimates for multi-parameter singular integrals. Zbl 1510.42002
Lu, Guozhen; Shen, Jiawei; Zhang, Lu
1
2023
Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential. Zbl 1514.35181
Chen, Lu; Lu, Guozhen; Zhu, Maochun
1
2023
Hardy’s identities and inequalities on Cartan-Hadamard manifolds. Zbl 1505.26031
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen; Mazumdar, Saikat
1
2023
Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere. Zbl 1526.46021
Chen, Lu; Lu, Guozhen; Tang, Hanli
1
2023
Green’s functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1493.46057
Lu, Guozhen; Yang, Qiaohua
12
2022
Sharp Hardy-Sobolev-Maz’ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces. Zbl 1496.32053
Lu, Guozhen; Yang, Qiaohua
6
2022
\(p\)-Bessel pairs, Hardy’s identities and inequalities and Hardy-Sobolev inequalities with monomial weights. Zbl 1482.42058
Duy, Nguyen Tuan; Lam, Nguyen; Lu, Guozhen
5
2022
Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions. Zbl 1496.35211
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
4
2022
Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols. Zbl 1491.42012
Lu, Guozhen; Pipher, Jill; Zhang, Lu
2
2022
Gagliardo-Nirenberg and Sobolev interpolation inequalities on Besov spaces. Zbl 1491.46022
Dao, Nguyen Anh; Lam, Nguyen; Lu, Guozhen
2
2022
Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators. Zbl 1503.42020
Ding, Wei; Lu, Guozhen
2
2022
Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces. Zbl 1491.35191
Chen, Lu; Lu, Guozhen; Yang, Qiaohua; Zhu, Maochun
1
2022
Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-\(L^{\infty}\) spaces. Zbl 1497.46035
Dao, Anh Nguyen; Lam, Nguyen; Lu, Guozhen
1
2022
A sharpened form of Adams-type inequalities on higher-order Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb{R}^n)\): a simple approach. Zbl 1522.46026
Chen, Lu; Lu, Guozhen; Zhu, Maocun
1
2022
Existence and non-existence of extremals for critical Adams inequality in any even dimension. Zbl 1502.46026
Chen, Lu; Lu, Guozhen; Zhu, Maochun
1
2022
Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds. Zbl 1509.46024
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen
1
2022
Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in \(\mathbb{R}^n\). Zbl 1479.35264
Chen, Lu; Lu, Guozhen; Zhu, Maochun
15
2021
Concentration-compactness principle for Trudinger-Moser’s inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument. Zbl 1486.46039
Li, Jungang; Lu, Guozhen; Zhu, Maochun
15
2021
Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds. Zbl 1482.46040
Li, Jungang; Lu, Guozhen
14
2021
Sharp Hardy identities and inequalities on Carnot groups. Zbl 1479.43012
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen
7
2021
A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations. Zbl 1468.35040
Chen, Lu; Lu, Guozhen; Zhu, Maochun
7
2021
Hörmander Fourier multiplier theorems with optimal regularity in bi-parameter Besov spaces. Zbl 1480.42017
Chen, Jiao; Huang, Liang; Lu, Guozhen
5
2021
Sharpened Trudinger-Moser inequalities on the Euclidean space and Heisenberg group. Zbl 1487.46034
Chen, Lu; Lu, Guozhen; Zhu, Maochun
2
2021
Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces. Zbl 1465.35206
Chen, Lu; Lu, Guozhen; Zhang, Caifeng
1
2021
Hörmander Fourier multiplier theorems with optimal Besov regularity on multi-parameter Hardy spaces. Zbl 1486.42011
Chen, Jiao; Huang, Liang; Lu, Guozhen
1
2021
Geometric Hardy’s inequalities with general distance functions. Zbl 1473.35014
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
23
2020
Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. Zbl 1451.46036
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
20
2020
Stein-Weiss inequalities with the fractional Poisson kernel. Zbl 1459.35006
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
14
2020
Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\). Zbl 1441.35121
Chen, Lu; Lu, Guozhen; Zhu, Maochun
13
2020
Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces. Zbl 1442.42054
Chen, Jiao; Ding, Wei; Lu, Guozhen
10
2020
Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces. Zbl 1440.42052
Ding, Wei; Lu, Guozhen
10
2020
Sharp Hardy-Trudinger-Moser inequalities in any \(N\)-dimensional hyperbolic spaces. Zbl 1462.46040
Liang, Xining; Lu, Guozhen; Wang, Xumin; Yang, Qiaohua
7
2020
Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials. Zbl 1467.46033
Chen, Lu; Lu, Guozhen; Zhu, Maochun
7
2020
Existence of solutions to fractional \(p\)-Laplacian systems with homogeneous nonlinearities of critical Sobolev growth. Zbl 1445.35306
Lu, Guozhen; Shen, Yansheng
5
2020
Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013
Lu, Guozhen; Yang, Qiaohua
40
2019
Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
28
2019
Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
26
2019
Multi-parameter local Hardy spaces. Zbl 1418.42038
Ding, Wei; Lu, Guozhen; Zhu, YuePing
21
2019
A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\). Zbl 1432.35081
Lu, Guozhen; Zhu, Maochun
20
2019
Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034
Chen, Lu; Lu, Guozhen; Tao, Chunxia
18
2019
Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
18
2019
Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces. Zbl 1440.42104
Ding, Wei; Lu, Guozhen; Zhu, Yueping
15
2019
Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals. Zbl 1421.35099
Chen, Lu; Lu, Guozhen; Zhang, Caifeng
12
2019
Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals. Zbl 1422.42036
Chen, Lu; Lu, Guozhen; Tao, Chunxia
12
2019
Hardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEs. Zbl 1418.35008
Chen, Lu; Lu, Guozhen; Tao, Chunxia
9
2019
Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011
Lin, Yan; Lu, Guozhen; Lu, Shanzhen
6
2019
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026
Li, Jungang; Lu, Guozhen; Zhu, Maochun
39
2018
Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
37
2018
Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027
Dong, Mengxia; Nguyen Lam; Lu, Guozhen
30
2018
Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\). Zbl 1397.35097
Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng
27
2018
\(L^{p}\) boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024
Hong, Qing; Lu, Guozhen; Zhang, Lu
21
2018
Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
17
2018
Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators. Zbl 1401.42013
Hong, Qing; Lu, Guozhen
14
2018
Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness. Zbl 1422.42023
Chen, Jiao; Lu, Guozhen
12
2018
Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities. Zbl 1392.26029
Lam, Nguyen; Lu, Guozhen
4
2018
Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
60
2017
Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026
Lu, Guozhen; Yang, Qiaohua
42
2017
Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035
Lam, Nguyen; Lu, Guozhen
30
2017
Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421
Dai, Wei; Liu, Zhao; Lu, Guozhen
23
2017
Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. Zbl 1372.46027
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
20
2017
Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space. Zbl 1369.45005
Dai, Wei; Liu, Zhao; Lu, Guozhen
8
2017
\(\mathrm{L}^p\) estimates for a trilinear pseudo-differential operator with flag symbols. Zbl 1371.42012
Lu, Guozhen; Zhang, Lu
7
2017
Dynamic inversion characteristics of composite reinforced tubes. Zbl 1406.74164
Guo, D.; Fang, C. Q.; Wang, X.; Lu, G.
1
2017
Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031
Lu, Guozhen; Tang, Hanli
37
2016
Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026
Dong, Mengxia; Lu, Guozhen
33
2016
A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029
Lu, Guozhen; Yang, Qiaohua
30
2016
Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035
Lu, Guozhen; Tang, Hanli
24
2016
Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025
Ding, Wei; Lu, Guozhen
22
2016
Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326
Chen, Lu; Liu, Zhao; Lu, Guozhen
18
2016
Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013
Chen, Lu; Lu, Guozhen; Luo, Xiang
14
2016
Multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition. Zbl 1335.42021
Ding, Wei; Lu, Guozhen; Zhu, Yueping
13
2016
Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\). Zbl 1323.35046
Lu, Guozhen; Lam, Nguyen; Bao, Jiguang
11
2016
Bi-parameter and bilinear Calderón-Vaillancourt theorem with subcritical order. Zbl 1351.42028
Lu, Guozhen; Zhang, Lu
7
2016
Hardy space estimates for Littlewood-Paley-Stein square functions and Calderón-Zygmund operators. Zbl 1337.42019
Hart, Jarod; Lu, Guozhen
4
2016
Hardy space estimates for bilinear square functions and Calderón-Zygmund operators. Zbl 1358.42012
Hart, Jarod; Lu, Guozhen
1
2016
Best constants for Adams’ inequalities with the exact growth condition in \({\mathbb R}^n\). Zbl 1352.46034
Lu, Guozhen; Tang, Hanli; Zhu, Maochun
23
2015
\(L^p\) estimates for multi-linear and multi-parameter pseudo-differential operators. (Estimations \(L^p\) pour les opérateurs pseudo-différentiels multilinéaires et multiparamètres.) Zbl 1335.47033
Dai, Wei; Lu, Guozhen
22
2015
The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations. Zbl 1312.35033
Lu, Guozhen; Zhu, Jiuyi
10
2015
Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Zbl 1338.35016
Lam, Nguyen; Lu, Guozhen
7
2015
Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition in variable exponent Sobolev spaces. Zbl 1339.46033
Li, Xia; Lu, Guo Zhen; Tang, Han Li
6
2015
Characterizations of second order Sobolev spaces. Zbl 1339.46030
Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen
3
2015
\(L^p\) estimates for bilinear and multiparameter Hilbert transforms. Zbl 1329.42008
Dai, Wei; Lu, Guozhen
1
2015
Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069
Lam, Nguyen; Lu, Guozhen
73
2014
Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
47
2014
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
37
2014
Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010
Chen, Jiao; Lu, Guozhen
34
2014
Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039
Lu, Guozhen; Zhang, Pu
32
2014
Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025
Lu, Guozhen; Ruan, Zhuoping
20
2014
Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111
Hong, Qing; Lu, Guozhen
19
2014
Boundedness of singular integrals in Journé’s class on weighted multiparameter Hardy spaces. Zbl 1302.42024
Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping
13
2014
New characterizations of Sobolev spaces on the Heisenberg group. Zbl 1316.46033
Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen
3
2014
A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. Zbl 1294.46034
Lam, Nguyen; Lu, Guozhen
103
2013
\(N\)-Laplacian equations in \(\mathbb R^N\) with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049
Lam, Nguyen; Lu, Guozhen
39
2013
Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035
Lu, Guozhen; Tang, Hanli
37
2013
Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035
Han, Yongsheng; Li, Ji; Lu, Guozhen
25
2013
Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018
Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T.
22
2013
Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024
Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping
22
2013
Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Zbl 1261.42030
Lu, Guo Zhen; Zhu, Yue Ping
16
2013
...and 89 more Documents
all top 5

Cited by 1,311 Authors

123 Lu, Guozhen
42 Yang, Dachun
40 Lam, Nguyen
33 Chen, Lu
32 Duong, Xuan Thinh
32 Li, Ji
27 Yang, Qiaohua
26 The Anh Bui
25 Niu, Pengcheng
25 Zhu, Maochun
24 Yan, Lixin
22 Nguyễn Văn Hoàng
21 Franchi, Bruno
19 Do Ó, João M. Bezerra
19 Yang, Yunyan
16 Ding, Wei
16 Song, Liang
16 Yang, Sibei
15 Chen, Wenxiong
15 Han, Yongsheng
15 Nguyen Tuan Duy
15 Wang, Jialin
15 Wu, Xinfeng
14 Manfredi, Juan J.
14 Yang, Minbo
13 Guliyev, Vagif Sabir
12 Bonfiglioli, Andrea
12 Dai, Wei
12 de Souza, Manassés X.
12 Liu, Fang
12 Tang, Hanli
11 Baldi, Annalisa
11 Chen, Jiao
11 Li, Pengtao
11 Liu, Yu
11 Wheeden, Richard Lee
10 Deng, Shengbing
10 Ferrari, Fausto
10 Lanconelli, Ermanno
10 Liao, Dongni
10 Ruzhansky, Michael V.
10 Uguzzoni, Francesco
10 Zhang, Caifeng
10 Zhao, Jiman
10 Zhu, Yueping
9 Cao, Jun
9 Chang, Der-Chen E.
9 Di Fazio, Giuseppe
9 Dou, Jingbo
9 Garofalo, Nicola
9 Li, Congming
9 Li, Jungang
9 Lin, Yan
9 Pérez, Carlos
9 Zhang, Lu
9 Zhu, Jiuyi
8 Aouaoui, Sami
8 Chen, Peng
8 Dziubański, Jacek
8 Fanciullo, Maria Stella
8 He, Shaoyong
8 Huang, Jizheng
8 Morbidelli, Daniele
8 Sani, Federica
8 Wick, Brett Duane
8 Yang, Xiaoping
8 Yang, Zuodong
8 Zhang, Mengjie
7 Capogna, Luca
7 Chen, Jiecheng
7 Citti, Giovanna
7 Du, Guangwei
7 Han, Yanchang
7 Han, Yazhou
7 Hong, Qing
7 Huang, Liang
7 Liu, Yanjun
7 Liu, Zongguang
7 Mohammed, Ahmed
7 Montanari, Annamaria
7 Phi, Le Long
7 Pucci, Patrizia
7 Rădulescu, Vicenţiu D.
7 Rossi, Julio Daniel
7 Sreenadh, Konijeti
7 Tan, Chaoqiang
7 Wang, Peiyong
7 Wang, Pengyan
7 Wang, Xumin
7 Xue, Qingying
7 Yang, Dongyong
7 Zhu, Xiaobao
6 Crasta, Graziano
6 Dragoni, Federica
6 Flynn, Joshua
6 Fragalà, Ilaria
6 Fu, Zunwei
6 Giacomoni, Jacques
6 Gong, Ruming
6 Hu, Guorong
...and 1,211 more Authors
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Cited in 229 Serials

117 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
76 Journal of Mathematical Analysis and Applications
59 Journal of Functional Analysis
55 The Journal of Geometric Analysis
46 Advanced Nonlinear Studies
44 Journal of Differential Equations
44 Calculus of Variations and Partial Differential Equations
41 Proceedings of the American Mathematical Society
41 Acta Mathematica Sinica. English Series
35 Potential Analysis
34 Transactions of the American Mathematical Society
34 Communications on Pure and Applied Analysis
30 Advances in Mathematics
25 Journal of Inequalities and Applications
23 Science China. Mathematics
22 Mathematische Annalen
22 Discrete and Continuous Dynamical Systems
21 Forum Mathematicum
21 Complex Variables and Elliptic Equations
19 The Journal of Fourier Analysis and Applications
19 Boundary Value Problems
17 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Communications in Contemporary Mathematics
16 Mathematische Nachrichten
15 Mathematische Zeitschrift
14 Journal of Function Spaces
13 Manuscripta Mathematica
13 Communications in Partial Differential Equations
13 Journal of Pseudo-Differential Operators and Applications
12 Applicable Analysis
12 Revista Matemática Iberoamericana
11 NoDEA. Nonlinear Differential Equations and Applications
10 Mathematical Inequalities & Applications
10 Advances in Nonlinear Analysis
9 Pacific Journal of Mathematics
9 Siberian Mathematical Journal
9 Applied Mathematics Letters
9 Abstract and Applied Analysis
9 Revista Matemática Complutense
9 Banach Journal of Mathematical Analysis
8 Czechoslovak Mathematical Journal
8 International Journal of Mathematics
8 Journal of Mathematical Inequalities
8 Advances in Calculus of Variations
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Journal d’Analyse Mathématique
7 Mathematical Notes
7 Studia Mathematica
7 Memoirs of the American Mathematical Society
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
7 Mediterranean Journal of Mathematics
6 Journal of Mathematical Physics
6 Archiv der Mathematik
6 Electronic Journal of Differential Equations (EJDE)
6 Frontiers of Mathematics in China
5 Mathematical Methods in the Applied Sciences
5 Rocky Mountain Journal of Mathematics
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Annales de l’Institut Fourier
5 Acta Applicandae Mathematicae
5 SIAM Journal on Mathematical Analysis
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Taiwanese Journal of Mathematics
5 Journal of the Australian Mathematical Society
5 Journal of Function Spaces and Applications
5 Analysis and Mathematical Physics
4 Indian Journal of Pure & Applied Mathematics
4 Journal of Approximation Theory
4 Journal of the Korean Mathematical Society
4 Journal of the Mathematical Society of Japan
4 Chinese Annals of Mathematics. Series B
4 Annals of Global Analysis and Geometry
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Applied Mathematics. Series B (English Edition)
4 Bulletin des Sciences Mathématiques
4 Vietnam Journal of Mathematics
4 Nonlinear Analysis. Real World Applications
4 Journal of Evolution Equations
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Bulletin of Mathematical Sciences
4 Analysis and Geometry in Metric Spaces
3 Bulletin of the London Mathematical Society
3 Duke Mathematical Journal
3 Indiana University Mathematics Journal
3 Integral Equations and Operator Theory
3 Journal of the London Mathematical Society. Second Series
3 Monatshefte für Mathematik
3 Results in Mathematics
3 Ricerche di Matematica
3 Zeitschrift für Analysis und ihre Anwendungen
3 Acta Mathematicae Applicatae Sinica. English Series
3 St. Petersburg Mathematical Journal
3 Georgian Mathematical Journal
3 Communications in Nonlinear Science and Numerical Simulation
3 Analysis in Theory and Applications
3 Acta Mathematica Sinica. Chinese Series
3 Discrete and Continuous Dynamical Systems. Series S
...and 129 more Serials
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Cited in 45 Fields

928 Partial differential equations (35-XX)
476 Harmonic analysis on Euclidean spaces (42-XX)
402 Functional analysis (46-XX)
208 Real functions (26-XX)
146 Operator theory (47-XX)
102 Abstract harmonic analysis (43-XX)
90 Global analysis, analysis on manifolds (58-XX)
68 Differential geometry (53-XX)
63 Calculus of variations and optimal control; optimization (49-XX)
60 Topological groups, Lie groups (22-XX)
54 Integral equations (45-XX)
51 Potential theory (31-XX)
46 Functions of a complex variable (30-XX)
21 Several complex variables and analytic spaces (32-XX)
14 Convex and discrete geometry (52-XX)
13 Ordinary differential equations (34-XX)
10 Measure and integration (28-XX)
10 Special functions (33-XX)
10 Numerical analysis (65-XX)
9 Probability theory and stochastic processes (60-XX)
6 Difference and functional equations (39-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Approximations and expansions (41-XX)
5 Integral transforms, operational calculus (44-XX)
5 Fluid mechanics (76-XX)
5 Information and communication theory, circuits (94-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Quantum theory (81-XX)
4 Biology and other natural sciences (92-XX)
3 Combinatorics (05-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of particles and systems (70-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
2 Computer science (68-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)

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