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Author ID: lu.shanzhen Recent zbMATH articles by "Lu, Shanzhen"
Published as: Lu, Shanzhen; Lu, Shan Zhen; Lu, Shan-zhen; Lu, Shan-Zhen; Lu, ShanZhen; Lu, Shanzen
External Links: MGP · dblp · GND
Documents Indexed: 292 Publications since 1980, including 4 Books and 5 Additional arXiv Preprints
Biographic References: 2 Publications
Co-Authors: 73 Co-Authors with 257 Joint Publications
1,716 Co-Co-Authors
all top 5

Serials

33 Journal of Beijing Normal University. Natural Science
21 Acta Mathematica Sinica. English Series
17 Science in China. Series A
16 Acta Mathematica Sinica
12 Advances in Mathematics (Beijing)
11 Approximation Theory and its Applications
11 Frontiers of Mathematics in China
8 Proceedings of the American Mathematical Society
7 Journal of Mathematical Analysis and Applications
7 Mathematische Nachrichten
6 Studia Mathematica
6 Hokkaido Mathematical Journal
6 Acta Mathematica Scientia. Series B. (English Edition)
5 Integral Equations and Operator Theory
5 Nagoya Mathematical Journal
5 Acta Mathematica Sinica. New Series
5 Chinese Science Bulletin
4 Tôhoku Mathematical Journal. Second Series
4 Chinese Annals of Mathematics. Series A
4 Scientia Sinica. Series A
4 Kexue Tongbao
4 Acta Mathematica Scientia. Series A. (Chinese Edition)
4 Science China. Mathematics
3 Acta Mathematicae Applicatae Sinica. English Series
3 Forum Mathematicum
3 Abstract and Applied Analysis
3 Progress in Natural Science
3 Analysis in Theory and Applications
3 Acta Mathematica Sinica. Chinese Series
2 Canadian Journal of Mathematics
2 Colloquium Mathematicum
2 Kodai Mathematical Journal
2 Pacific Journal of Mathematics
2 Publicacions Matemàtiques
2 Georgian Mathematical Journal
2 International Journal of Applied Mathematical Sciences
2 Journal of Mathematical Inequalities
2 Scientia Sinica. Mathematica
2 Jordan Journal of Mathematics and Statistics
1 Analysis Mathematica
1 Houston Journal of Mathematics
1 Arkiv för Matematik
1 Annales des Sciences Mathématiques du Québec
1 Collectanea Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Southeast Asian Bulletin of Mathematics
1 Journal of Mathematical Research & Exposition
1 Chinese Annals of Mathematics. Series B
1 Constructive Approximation
1 Northeastern Mathematical Journal
1 Revista Matemática Iberoamericana
1 Panamerican Mathematical Journal
1 Journal of the Australian Mathematical Society. Series A
1 Journal of Partial Differential Equations
1 Turkish Journal of Mathematics
1 Journal of Combinatorial Designs
1 Journal of Difference Equations and Applications
1 The Journal of Fourier Analysis and Applications
1 Communications in Applied Analysis
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 Mathematical Sciences Research Hot-Line
1 Mathematical Inequalities & Applications
1 Journal of the Australian Mathematical Society
1 Journal of Function Spaces and Applications
1 Scientia Sinica
1 Pure and Applied Mathematics Quarterly
1 Series on Analysis, Applications and Computation

Publications by Year

Citations contained in zbMATH Open

201 Publications have been cited 2,258 times in 1,122 Documents Cited by Year
Four lectures on real \(H^ p\) spaces. Zbl 0839.42005
Lu, Shanzhen
100
1995
Singular integrals and related topics. Zbl 1124.42011
Lu, Shanzhen; Ding, Yong; Yan, Dunyan
88
2007
The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications. Zbl 0830.42014
Lu, Shanzhen; Yang, Dachun
63
1995
Weighted norm inequalities for fractional integral operators with rough kernel. Zbl 0905.42010
Ding, Yong; Lu, Shanzhen
55
1998
The central BMO spaces and Littlewood-Paley operators. Zbl 0857.42009
Lu, Shanzhen; Yang, Dachun
55
1995
Sharp bounds for \(m\)-linear Hardy and Hilbert operators. Zbl 1248.42020
Fu, Zunwei; Grafakos, Loukas; Lu, Shanzhen; Zhao, Fayou
55
2012
Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients. Zbl 0917.35017
Fan, Dashan; Lu, Shanzhen; Yang, Dachun
51
1998
The weighted Herz-type Hardy space and its applications. Zbl 0832.42013
Lu, Shanzhen; Yang, Dachun
48
1995
Characterization for commutators of \(n\)-dimensional fractional Hardy operators. Zbl 1131.42012
Fu, Zunwei; Liu, Zongguang; Lu, Shanzhen; Wang, Hongbin
47
2007
On commutators of Marcinkiewicz integrals with rough kernel. Zbl 1019.42009
Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô
44
2002
A problem on rough parametric Marcinkiewicz functions. Zbl 0993.42008
Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô
42
2002
Criterion on \(L^ p\)-boundedness for a class of oscillatory singular integrals with rough kernels. Zbl 0786.42007
Lu, Shanzhen; Zhang, Yan
39
1992
\(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels. Zbl 1142.42004
Fu, Zun Wei; Lin, Yan; Lu, Shan Zhen
39
2008
The local versions of \(H^p(\mathbb{R}^n)\) spaces at the origin. Zbl 0935.42012
Lu, Shanzhen; Yang, Dachun
35
1995
Higher order commutators for a class of rough operators. Zbl 1038.42013
Ding, Young; Lu, Shanzhen
35
1999
Weighted boundedness for a class of rough multilinear operators. Zbl 0985.42011
Ding, Yong; Lu, Shanzhen
33
2001
Weighted multilinear Hardy operators and commutators. Zbl 1331.42016
Fu, Zun Wei; Gong, Shu Li; Lu, Shan Zhen; Yuan, Wen
32
2015
Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces. Zbl 1081.42012
Lu, Shanzhen; Xu, Lifang
31
2005
The Littlewood-Paley function and \(\varphi\)-transform characterizations of a new Hardy space \(HK_ 2\) associated with the Herz space. Zbl 0811.42005
Lu, Shanzhen; Yang, Dachun
31
1992
Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators. Zbl 1279.42023
Fu, Zun Wei; Wu, Qing Yan; Lu, Shan Zhen
31
2013
Hardy-Littlewood-Sobolev theorems of fractional integration on Herz-type spaces and its applications. Zbl 0893.42005
Lu, Shanzhen; Yang, Dachun
30
1996
Homogeneous fractional integrals on Hardy spaces. Zbl 0959.42011
Ding, Yong; Lu, Shanzhen
27
2000
Boundedness of operators in Morrey spaces on homogeneous spaces and its applications. Zbl 0916.43006
Fan, Dashan; Lu, Shanzhen; Yang, Dachun
27
1998
Marcinkiewicz integral on Hardy spaces. Zbl 0994.42013
Ding, Yong; Lu, Shanzhen; Xue, Qingying
27
2002
The continuity of commutators on Herz-type spaces. Zbl 0913.42016
Lu, Shanzhen; Yang, Dachun
27
1997
Strongly singular Calderón-Zygmund operators and their commutators. Zbl 1279.42018
Lin, Yan; Lu, Shanzhen
27
2008
Commutators of weighted Hardy operators on \(\mathbb {R}^{n}\). Zbl 1174.42018
Fu, Zun Wei; Liu, Zong Guang; Lu, Shan Zhen
25
2009
Boundedness of some sublinear operators in weighted Herz-type spaces. Zbl 0986.42010
Lu, Shanzhen; Yabuta, Kôzô; Yang, Dachun
23
2000
Endpoint estimates for \(n\)-dimensional Hardy operators and their commutators. Zbl 1257.26015
Zhao, FaYou; Fu, ZunWei; Lu, ShanZhen
23
2012
Weak estimates for commutators of fractional integral operators. Zbl 1014.42012
Ding, Yong; Lu, Shanzhen; Zhang, Pu
22
2001
Singular integrals and commutators on homogeneous groups. Zbl 1026.43007
Lu, Guozhen; Lu, Shanzhen; Yang, Dachun
21
2002
Oscillatory singular integrals with rough kernel. Zbl 0837.42004
Jiang, Yinsheng; Lu, Shanzhen
20
1995
Boundedness of commutators on Hardy type spaces. Zbl 1098.42009
Lu, Shanzhen; Wu, Qiang; Yang, Dachun
20
2002
Commutators of \(n\)-dimensional rough Hardy operators. Zbl 1226.47050
Fu, ZunWei; Lu, ShanZhen; Zhao, FaYou
18
2011
Herz-type Sobolev and Bessel potential spaces and their applications. Zbl 0901.46027
Lu, Shanzhen; Yang, Dachun
18
1997
Characterization of the central Campanato space via the commutator operator of Hardy type. Zbl 1317.42022
Shi, Shaoguang; Lu, Shanzhen
18
2015
Sharp bounds for Hardy type operators on higher-dimensional product spaces. Zbl 1284.26022
Lu, Shanzhen; Yan, Dunyan; Zhao, Fayou
18
2013
Sublinear operators with rough kernel on generalized Morrey spaces. Zbl 0895.42005
Lu, Shanzhen; Yang, Dachun; Zhou, Zusheng
17
1998
Some characterizations of weighted Herz-type Hardy spaces and their applications. Zbl 0887.42015
Lu, Shanzhen; Yang, Dachun
17
1997
On the compactness of commutators of Hardy operators. Zbl 1445.42015
Shi, Shaoguang; Fu, Zunwei; Lu, Shanzhen
17
2020
Toeplitz operators related to strongly singular Calderón–Zygmund operators. Zbl 1118.47019
Lin, Yan; Lu, Shanzhen
16
2006
Bochner-Riesz means on Euclidean spaces. Zbl 1281.42003
Lu, Shanzhen; Yan, Dunyan
16
2013
Parametrized Littlewood-Paley operators on Hardy and weak Hardy spaces. Zbl 1133.42030
Ding, Yong; Lu, Shanzhen; Xue, Qingying
15
2007
Weighted weak type estimates for commutators of the Marcinkiewicz integrals. Zbl 1217.42029
Ding, Yong; Lu, Shanzhen; Zhang, Pu
15
2004
On Marcinkiewicz integral with homogeneous kernels. Zbl 0961.42014
Ding, Yong; Lu, Shanzhen; Xue, Qingying
14
2000
A class of singular integral operators with rough kernel on product domains. Zbl 0830.42006
Jiang, Yinsheng; Lu, Shanzhen
14
1995
Boundedness of rough singular integral operators on homogeneous Herz spaces. Zbl 0927.42010
Hu, Guoen; Lu, Shanzhen; Yang, Dachun
14
1999
The commutator of the Bochner-Riesz operator. Zbl 0889.42011
Hu, Guoen; Lu, Shanzhen
14
1996
The decomposition of Herz spaces on local fields and its applications. Zbl 0844.43008
Lu, Shanzhen; Yang, Dachun
13
1995
The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant. Zbl 1242.46025
Grafakos, Loukas; Liu, Liguang; Lu, Shanzhen; Zhao, Fayou
13
2012
Weighted \(L^ p\)-boundedness for higher order commutators of oscillatory singular integrals. Zbl 0873.42009
Ding, Yong; Lu, Shanzhen
13
1996
Endpoint estimates for commutators of Calderón-Zygmund type operators. Zbl 1003.42010
Liu, Zongguang; Lu, Shanzhen
13
2002
Some characterizations of Campanato spaces via commutators on Morrey spaces. Zbl 1273.42015
Shi, Shaoguang; Lu, Shanzhen
13
2013
Weighted Hardy operators and commutators on Morrey spaces. Zbl 1206.42027
Fu, Zunwei; Lu, Shanzhen
13
2010
Inhomogeneous Besov and Triebel-Lizorkin spaces on spaces of homgeneous type. Zbl 0957.46025
Han, Yongsheng; Lu, Shanzhen; Yang, Dachun
12
1999
Oscillatory singular integrals on Hardy spaces associated with Herz spaces. Zbl 0830.42008
Lu, Shanzhen; Yang, Dachun
12
1995
Rough singular integrals associated to surfaces of revolution. Zbl 0976.42009
Lu, Shanzhen; Pan, Yibiao; Yang, Dachun
12
2001
The weak Herz spaces. Zbl 0887.42016
Hu, Guoen; Lu, Shanzhen; Yang, Dachun
12
1997
\(L^ p\)-boundedness of multilinear oscillatory singular integrals with Calderón-Zygmund kernel. Zbl 1054.42013
Lu, Shanzhen; Yan, Dunyan
12
2002
CBMO estimates for commutators and multilinear singular integrals. Zbl 1081.42011
Lu, Shanzhen; Wu, Qiang
11
2004
Boundedness of commutators on Hardy-type spaces. Zbl 1134.42314
Lin, Yan; Lu, Shanzhen
11
2007
Explicit constants for hardy’s inequality with power weight on \(n\)-dimensional product spaces. Zbl 1258.42020
Wang, ShiMo; Lu, ShanZhen; Yan, DunYan
11
2012
A characterization of \(\lambda\)-central BMO space. Zbl 1260.47035
Zhao, Fayou; Lu, Shanzhen
11
2013
Criterion of \((L^p,L^r)\) boundedness for a class of multilinear oscillatory singular integrals. Zbl 0929.42008
Chen, Wengu; Hu, Guoen; Lu, Shanzhen
10
1998
Toeplitz-type operators on Lebesgue spaces. Zbl 1199.42074
Lu, Shanzhen; Ma, Huixia
10
2009
Commutators of generalized Hardy operators. Zbl 1173.42009
Fu, Zunwei; Lu, Shanzhen
10
2009
Multilinear singular and fractional integrals. Zbl 1129.42352
Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô
10
2006
The weighted norm inequality for a class of oscillatory integral operators. Zbl 0801.42009
Lu, Shanzhen; Zhang, Yan
10
1992
The best bound for \(n\)-dimensional fractional Hardy operators. Zbl 1307.26026
Zhao, Fayou; Lu, Shanzhen
10
2015
Lipschitz estimates for generalized commutators of fractional integrals with rough kernel. Zbl 1049.42009
Lu, Shanzhen; Zhang, Pu
10
2003
Multiplier theorems for Herz type Hardy spaces. Zbl 0905.42007
Lu, Shanzhen; Yang, Dachun
9
1998
\(L^{p} (\mathbb R^{m} \times \mathbb R^{n})\) boundedness for the Marcinkiewicz integral on product spaces. Zbl 1217.42032
Hu, Guoen; Lu, Shanzhen; Yan, Dunyan
9
2003
Inhomogeneous discrete Calderón reproducing formulas for spaces of homogeneous type. Zbl 0991.43004
Han, Yongsheng; Lu, Shanzhen; Yang, Dachun
9
2001
\(L^ p\) boundedness of a class of maximal singular integral operators. Zbl 0759.42013
Jiang, Yinsheng; Lu, Shanzhen
9
1992
The \(L^{p_ 1} \times L^{p_ 2} \times \cdots \times L^{p_ k}\) boundedness for some rough operators. Zbl 0882.42010
Ding, Yong; Lu, Shanzhen
9
1996
Multilinear singular integrals with rough kernel. Zbl 1023.42009
Lu, Shan Zhen; Wu, Huo Xiong; Zhang, Pu
9
2003
Weighted weak type inequalities for maximal commutators of Bochner-Riesz operator. Zbl 1034.42015
Liu, Lanzhe; Lu, Shanzhen
9
2003
On weighted weak type norm inequalities for one-sided oscillatory singular integrals. Zbl 1257.42022
Fu, Zunwei; Lu, Shanzhen; Sato, Shuichi; Shi, Shaoguang
8
2011
Continuity of higher order commutators on certain Hardy spaces. Zbl 1024.42008
Ding, Yong; Lu, Shanzhen; Zhang, Pu
8
2002
Oscillatory singular integrals and commutators with rough kernels. Zbl 1054.42012
Lu, Shanzhen; Wu, Huoxiong
8
2003
Integral operators with variable kernels on weak Hardy spaces. Zbl 1099.47040
Ding, Yong; Lu, Shanzhen; Shao, Shuanglin
8
2006
Parametrized area integrals on Hardy spaces and weak Hardy spaces. Zbl 1123.42003
Ding, Yong; Lu, Shan Zhen; Xue, Qing Ying
8
2007
A characterization of Campanato space via commutator of fractional integral. Zbl 1302.42032
Shi, Shaoguang; Lu, Shanzhen
8
2014
Boundedness of homogeneous fractional integrals on \(L^p\) for \(N/\alpha{\leq}p{\leq}{\infty}\). Zbl 1031.42015
Ding, Yong; Lu, Shanzhen
8
2002
Commutators generated by multilinear Calderón-Zygmund type singular integral and Lipschitz functions. Zbl 1304.42043
Mo, Hui-Xia; Lu, Shan-Zhen
8
2014
Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011
Lin, Yan; Lu, Guozhen; Lu, Shanzhen
8
2019
Oscillatory singular integral operators with variable Calderón-Zygmund kernels. Zbl 0957.42008
Lu, Shanzhen; Yang, Dachun; Zhou, Zusheng
7
1999
\(L^p\) boundedness of a parabolic Littlewood-Paley operator with rough kernel belonging to \(F_\alpha (S^{n-1})\). Zbl 1240.42097
Chen, Dongxiang; Lu, Shanzhen
7
2011
Hardy spaces estimates for multilinear operators with homogeneous kernels. Zbl 1036.42015
Ding, Yong; Lu, Shanzhen
7
2003
Some new Hardy spaces associated with Herz spaces and their wavelet characterizations. Zbl 0782.42019
Lu, Shanzhen; Yang, Dachun
7
1993
Conjectures and problems on Bochner-Riesz means. Zbl 1306.42010
Lu, Shanzhen
7
2013
Boundedness of multilinear singular integral operators on Hardy and Herz-type spaces. Zbl 1213.42049
Lin, Yan; Lu, Shanzhen
6
2007
The applications of weak Herz spaces. Zbl 0915.42012
Hu, Guoen; Lu, Shanzhen; Yang, Dachun
6
1997
Pseudo-differential operators on Sobolev and Lipschitz spaces. Zbl 1185.42012
Lin, Yan; Lu, Shan Zhen
6
2010
Two-weight weak-type norm inequalities for the commutators of fractional integrals. Zbl 1072.42012
Liu, Zongguang; Lu, Shanzhen
6
2004
A class of oscillatory singular integrals. Zbl 1078.42006
Lu, Shanzhen
6
2005
Transference and restriction of maximal multiplier operators on Hardy spaces. Zbl 0812.42010
Liu, Zhixin; Lu, Shanzhen
6
1993
Some recent progress of \(n\)-dimensional Hardy operators. Zbl 1313.42001
Lu, Shanzhen
6
2013
Vector-valued singular integral operators with non-smooth kernels and related multilinear commutators. Zbl 1159.42012
Mo, Hui-Xia; Lu, Shan-Zhen
6
2007
Two characterizations of central BMO space via the commutators of Hardy operators. Zbl 1491.42035
Fu, Zunwei; Lu, Shanzhen; Shi, Shaoguang
6
2021
Two characterizations of central BMO space via the commutators of Hardy operators. Zbl 1491.42035
Fu, Zunwei; Lu, Shanzhen; Shi, Shaoguang
6
2021
Function characterizations via commutators of Hardy operator. Zbl 1468.42018
Lu, Shanzhen
2
2021
On the compactness of commutators of Hardy operators. Zbl 1445.42015
Shi, Shaoguang; Fu, Zunwei; Lu, Shanzhen
17
2020
Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011
Lin, Yan; Lu, Guozhen; Lu, Shanzhen
8
2019
Olsen-type inequalities for the generalized commutator of multilinear fractional integrals. Zbl 1424.42039
Yu, Xiao; Lu, Shanzhen
3
2018
Further results on almost resolvable cycle systems and the Hamilton-Waterloo problem. Zbl 1391.05212
Wang, L.; Lu, S.; Cao, Haitao
1
2018
Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals. Zbl 1366.42019
Chen, Dongxiang; Lu, Shanzhen; Mao, Suzhen
2
2017
\(p\)-adic central function spaces and singular integral operators. Zbl 1389.42039
Wu, Qingyan; Lu, Shanzhen; Fu, Zunwei
1
2017
Weighted multilinear Hardy operators and commutators. Zbl 1331.42016
Fu, Zun Wei; Gong, Shu Li; Lu, Shan Zhen; Yuan, Wen
32
2015
Characterization of the central Campanato space via the commutator operator of Hardy type. Zbl 1317.42022
Shi, Shaoguang; Lu, Shanzhen
18
2015
The best bound for \(n\)-dimensional fractional Hardy operators. Zbl 1307.26026
Zhao, Fayou; Lu, Shanzhen
10
2015
A characterization of Campanato space via commutator of fractional integral. Zbl 1302.42032
Shi, Shaoguang; Lu, Shanzhen
8
2014
Commutators generated by multilinear Calderón-Zygmund type singular integral and Lipschitz functions. Zbl 1304.42043
Mo, Hui-Xia; Lu, Shan-Zhen
8
2014
Some one-sided estimates for oscillatory singular integrals. Zbl 1293.42013
Fu, Zunwei; Lu, Shanzhen; Pan, Yibiao; Shi, Shaoguang
5
2014
\(M_{p}\) weights for bilinear Hardy operators on \(\mathbb R ^{n}\). Zbl 1305.26042
Zhao, Fayou; Fu, Zunwei; Lu, Shanzhen
4
2014
Boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces. Zbl 1472.42017
Fu, Zunwei; Lu, Shanzhen; Pan, Yibiao; Shi, Shaoguang
2
2014
Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators. Zbl 1279.42023
Fu, Zun Wei; Wu, Qing Yan; Lu, Shan Zhen
31
2013
Sharp bounds for Hardy type operators on higher-dimensional product spaces. Zbl 1284.26022
Lu, Shanzhen; Yan, Dunyan; Zhao, Fayou
18
2013
Bochner-Riesz means on Euclidean spaces. Zbl 1281.42003
Lu, Shanzhen; Yan, Dunyan
16
2013
Some characterizations of Campanato spaces via commutators on Morrey spaces. Zbl 1273.42015
Shi, Shaoguang; Lu, Shanzhen
13
2013
A characterization of \(\lambda\)-central BMO space. Zbl 1260.47035
Zhao, Fayou; Lu, Shanzhen
11
2013
Conjectures and problems on Bochner-Riesz means. Zbl 1306.42010
Lu, Shanzhen
7
2013
Some recent progress of \(n\)-dimensional Hardy operators. Zbl 1313.42001
Lu, Shanzhen
6
2013
Endpoint estimates for generalized commutators of Hardy operators on \(H^1\) space. Zbl 1383.42016
Yu, Xiao; Lu, Shanzhen
4
2013
Boundedness of oscillatory integral operators and their commutators on weighted Morrey spaces. Zbl 1488.42083
Shi, Shaoguang; Fu, Zunwei; Lu, Shanzhen
1
2013
Sharp bounds for \(m\)-linear Hardy and Hilbert operators. Zbl 1248.42020
Fu, Zunwei; Grafakos, Loukas; Lu, Shanzhen; Zhao, Fayou
55
2012
Endpoint estimates for \(n\)-dimensional Hardy operators and their commutators. Zbl 1257.26015
Zhao, FaYou; Fu, ZunWei; Lu, ShanZhen
23
2012
The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant. Zbl 1242.46025
Grafakos, Loukas; Liu, Liguang; Lu, Shanzhen; Zhao, Fayou
13
2012
Explicit constants for hardy’s inequality with power weight on \(n\)-dimensional product spaces. Zbl 1258.42020
Wang, ShiMo; Lu, ShanZhen; Yan, DunYan
11
2012
Weighted estimates for iterated commutators of multilinear fractional operators. Zbl 1261.42026
Si, Zeng Yan; Lu, Shan Zhen
6
2012
A weighted variant of Riemann-Liouville fractional integrals on \(\mathbb R^n\). Zbl 1253.26009
Fu, Zun Wei; Lu, Shan Zhen; Yuan, Wen
5
2012
The continuity of some operators on Herz-type Hardy spaces on the Heisenberg group. Zbl 1239.42006
Liu, Mingju; Lu, Shanzhen
1
2012
Commutators of \(n\)-dimensional rough Hardy operators. Zbl 1226.47050
Fu, ZunWei; Lu, ShanZhen; Zhao, FaYou
18
2011
On weighted weak type norm inequalities for one-sided oscillatory singular integrals. Zbl 1257.42022
Fu, Zunwei; Lu, Shanzhen; Sato, Shuichi; Shi, Shaoguang
8
2011
\(L^p\) boundedness of a parabolic Littlewood-Paley operator with rough kernel belonging to \(F_\alpha (S^{n-1})\). Zbl 1240.42097
Chen, Dongxiang; Lu, Shanzhen
7
2011
Weighted estimates for the multilinear singular integral operators with non-smooth kernels. Zbl 1222.42020
Hu, Guoen; Lu, Shanzhen
5
2011
One-sided Triebel-Lizorkin space and its applications. Zbl 1488.42072
Fu, Zunwei; Lu, Shanzhen
4
2011
Some results and problems on commutators. Zbl 1227.42016
Lu, Shanzhen
3
2011
\(L^{p}\) boundedness for commutators of parabolic Littlewood-Paley operators with rough kernels. Zbl 1245.42018
Chen, Dongxiang; Lu, Shanzhen
3
2011
Weighted estimates for commutators of one-sided oscillatory integral operators. Zbl 1284.42041
Shi, Shaoguang; Fu, Zunwei; Lu, Shanzhen
3
2011
Commutators of Bochner-Riesz operators for a class of radial functions. Zbl 1240.42033
Xia, Xia; Lu, Shanzhen
2
2011
Weighted Hardy operators and commutators on Morrey spaces. Zbl 1206.42027
Fu, Zunwei; Lu, Shanzhen
13
2010
Pseudo-differential operators on Sobolev and Lipschitz spaces. Zbl 1185.42012
Lin, Yan; Lu, Shan Zhen
6
2010
CBMO estimates for multilinear Hardy operators. Zbl 1202.42031
Lu, Shan Zhen; Zhao, Fa You
6
2010
Commutators of weighted Hardy operators on \(\mathbb {R}^{n}\). Zbl 1174.42018
Fu, Zun Wei; Liu, Zong Guang; Lu, Shan Zhen
25
2009
Toeplitz-type operators on Lebesgue spaces. Zbl 1199.42074
Lu, Shanzhen; Ma, Huixia
10
2009
Commutators of generalized Hardy operators. Zbl 1173.42009
Fu, Zunwei; Lu, Shanzhen
10
2009
\(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels. Zbl 1142.42004
Fu, Zun Wei; Lin, Yan; Lu, Shan Zhen
39
2008
Strongly singular Calderón-Zygmund operators and their commutators. Zbl 1279.42018
Lin, Yan; Lu, Shanzhen
27
2008
Boundedness of multilinear commutators of generalized fractional integrals. Zbl 1206.42014
Mo, Huixia; Lu, Shanzhen
5
2008
Multipliers and Herz type spaces. Zbl 1176.42009
Lu, ShanZhen
3
2008
New Hardy spaces associated with some anisotropic Herz spaces and their applications. Zbl 1176.42018
Ding, Yong; Lan, Senhua; Lu, Shanzhen
3
2008
Boundedness of multilinear operators related to fractional integral with rough kernel on Hardy spaces. Zbl 1174.42319
Han, Haiyan; Lu, Shanzhen
2
2008
Marcinkiewicz integral with rough kernels. Zbl 07759232
Lu, Shanzhen
2
2008
Boundedness of commutators of an oscillatory integral operator. Zbl 1213.42054
Xia, Xia; Lu, Shanzhen
1
2008
Singular integrals and related topics. Zbl 1124.42011
Lu, Shanzhen; Ding, Yong; Yan, Dunyan
88
2007
Characterization for commutators of \(n\)-dimensional fractional Hardy operators. Zbl 1131.42012
Fu, Zunwei; Liu, Zongguang; Lu, Shanzhen; Wang, Hongbin
47
2007
Parametrized Littlewood-Paley operators on Hardy and weak Hardy spaces. Zbl 1133.42030
Ding, Yong; Lu, Shanzhen; Xue, Qingying
15
2007
Boundedness of commutators on Hardy-type spaces. Zbl 1134.42314
Lin, Yan; Lu, Shanzhen
11
2007
Parametrized area integrals on Hardy spaces and weak Hardy spaces. Zbl 1123.42003
Ding, Yong; Lu, Shan Zhen; Xue, Qing Ying
8
2007
Boundedness of multilinear singular integral operators on Hardy and Herz-type spaces. Zbl 1213.42049
Lin, Yan; Lu, Shanzhen
6
2007
Vector-valued singular integral operators with non-smooth kernels and related multilinear commutators. Zbl 1159.42012
Mo, Hui-Xia; Lu, Shan-Zhen
6
2007
Boundedness of generalized higher commutators of Marcinkiewicz integrals. Zbl 1150.42010
Mo, Huixia; Lu, Shanzhen
4
2007
A note on commutators of Bochner-Riesz operator. Zbl 1260.42007
Lu, Shanzhen; Xia, Xia
4
2007
Applications of some block spaces to singular integrals. Zbl 1202.42032
Lu, Shanzhen
4
2007
Global regularity in homogeneous Morrey-Herz spaces of solutions to nondivergence elliptic equations with VMO coefficients. Zbl 1142.35383
Lu, Shanzhen; Tao, Shuangping
3
2007
Boundedness for commutators of Bochner-Riesz operators below a critical index. Zbl 1134.42003
Lu, Shan-zhen; Xia, Xia
2
2007
Remarks on \(g\)-functions on \(\mathbb H^n\). Zbl 1113.42016
Liu, Mingju; Lu, Shanzhen
2
2007
The boundedness for commutators of multipliers. Zbl 1118.42004
Li, Wen-Ming; Lu, Shan-Zhen; Mo, Hui-Xia
1
2007
The initial-boundary value problem for the modified Kawahara equation on the half line. Zbl 1121.42305
Tao, Shuangping; Lu, Shanzhen
1
2007
Toeplitz operators related to strongly singular Calderón–Zygmund operators. Zbl 1118.47019
Lin, Yan; Lu, Shanzhen
16
2006
Multilinear singular and fractional integrals. Zbl 1129.42352
Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô
10
2006
Integral operators with variable kernels on weak Hardy spaces. Zbl 1099.47040
Ding, Yong; Lu, Shanzhen; Shao, Shuanglin
8
2006
The boundedness of commutators for the Marcinkiewicz integrals. Zbl 1187.42019
Lu, Shanzhen; Mo, Huixia
5
2006
Strongly singular integral operators on weighted Hardy space. Zbl 1129.42382
Li, Junfeng; Lu, Shanzhen
5
2006
Boundedness of higher-order Marcinkiewicz-type integrals. Zbl 1123.45008
Lu, Shanzhen; Mo, Huixia
4
2006
Multilinear Calderón-Zygmund operator on Morrey type spaces. Zbl 1213.42048
Lin, Yan; Lu, Shanzen
4
2006
Boundedness of some Marcinkiewicz integral operators related to higher order commutators on Hardy spaces. Zbl 1129.42368
Lu, Shanzhen; Xu, Lifang
2
2006
\(L^{p}\) estimates for multilinear operators of strongly singular integral operators. Zbl 1100.42011
Li, Junfeng; Lu, Shanzhen
1
2006
Continuity for maximal multilinear Bochner-Riesz operators on Hardy and Herz-Hardy spaces. Zbl 1129.42366
Liu, Lanzhe; Lu, Shanzhen
1
2006
Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces. Zbl 1081.42012
Lu, Shanzhen; Xu, Lifang
31
2005
A class of oscillatory singular integrals. Zbl 1078.42006
Lu, Shanzhen
6
2005
Boundedness of some fractional integral operators on weighted Herz type Hardy spaces. Zbl 1074.42007
Lan, Jiacheng; Lu, Shanzhen
2
2005
Continuity of higher order commutators on certain Hardy spaces. Zbl 1137.42309
Ding, Yong; Lu, Shanzhen; Zhang, Pu
1
2005
The boundedness of multilinear operators of strongly singular integral operators on Hardy spaces. Zbl 1089.42007
Li, Junfeng; Lu, Shanzhen
1
2005
Weighted weak type estimates for commutators of the Marcinkiewicz integrals. Zbl 1217.42029
Ding, Yong; Lu, Shanzhen; Zhang, Pu
15
2004
CBMO estimates for commutators and multilinear singular integrals. Zbl 1081.42011
Lu, Shanzhen; Wu, Qiang
11
2004
Two-weight weak-type norm inequalities for the commutators of fractional integrals. Zbl 1072.42012
Liu, Zongguang; Lu, Shanzhen
6
2004
On the commutators of singular integrals related to block spaces. Zbl 1057.42015
Lu, Shanzhen; Wu, Hoxiong
4
2004
A class of multilinear oscillatory singular integrals related to block spaces. Zbl 1059.42012
Lu, Shanzhen; Wu, Huoxiong
4
2004
Applications of the scale changing method to boundedness of certain commutators. Zbl 1083.42013
Li, Junfeng; Lu, Shanzhen
3
2004
Boundedness of commutators related to Marcinkiewicz integrals on Hardy type spaces. Zbl 1078.42007
Lu, Shanzhen; Xu, Lifang
2
2004
Weighted Lipschitz estimates for the multilinear fractional integrals. Zbl 1079.42005
Lan, Jiacheng; Lu, Shanzhen
1
2004
The commutators of fractional integrals on Besov spaces. Zbl 1050.42012
Chen, Wen Gu; Lu, Shan Zhen
1
2004
Boundedness criterion for multilinear oscillatory integrals with rough kernels. Zbl 1078.42004
Chen, Wengu; Lu, Shanzhen
1
2004
Lipschitz estimates for generalized commutators of fractional integrals with rough kernel. Zbl 1049.42009
Lu, Shanzhen; Zhang, Pu
10
2003
\(L^{p} (\mathbb R^{m} \times \mathbb R^{n})\) boundedness for the Marcinkiewicz integral on product spaces. Zbl 1217.42032
Hu, Guoen; Lu, Shanzhen; Yan, Dunyan
9
2003
Multilinear singular integrals with rough kernel. Zbl 1023.42009
Lu, Shan Zhen; Wu, Huo Xiong; Zhang, Pu
9
2003
Weighted weak type inequalities for maximal commutators of Bochner-Riesz operator. Zbl 1034.42015
Liu, Lanzhe; Lu, Shanzhen
9
2003
Oscillatory singular integrals and commutators with rough kernels. Zbl 1054.42012
Lu, Shanzhen; Wu, Huoxiong
8
2003
...and 101 more Documents
all top 5

Cited by 783 Authors

74 Lu, Shanzhen
70 Yang, Dachun
42 Wu, Huoxiong
39 Ding, Yong
37 Guliyev, Vagif Sabir
34 Fan, Dashan
32 Fu, Zunwei
30 Yan, Dunyan
29 Yuan, Wen
26 Ho, Kwok-Pun
25 Chen, Jiecheng
25 Xue, Qingying
23 Lin, Yan
23 Wei, Mingquan
20 Liu, Feng
19 Wang, Hua
18 Chen, Yanping
18 Duong, Dao Van
18 Liu, Lanzhe
18 Zhang, Pu
18 Zhao, Fayou
16 Shi, Shaoguang
16 Xu, Jingshi
16 Yu, Xiao
16 Zhou, Jiang
15 Nguyen Minh Chuong
15 Tao, Shuangping
14 Wang, Hongbin
13 Tang, Lin
13 Wang, Liwei
13 Weisz, Ferenc
12 Akbulut, Ali
12 Al-Salman, Ahmad
12 Drihem, Douadi
12 Hussain, Amjad
12 Liu, Zongguang
12 Tao, Xiangxing
12 Yabuta, Kôzô
12 Zhang, Yangyang
11 Dung, Kieu Huu
11 Gürbüz, Ferit
11 He, Qianjun
10 Jiang, Yinsheng
10 Liu, Liguang
10 Lu, Guanghui
10 Matsuoka, Katsuo
10 Pan, Yibiao
10 Sawano, Yoshihiro
10 Si, Zengyan
10 Wu, Qingyan
9 Liu, Ronghui
9 Sarfraz, Naqash
9 Serbetci, Ayhan
9 Shu, Lisheng
9 Wang, Songbai
9 Zhao, Jiman
8 Chen, Dazhao
8 Gao, Guilian
8 He, Ziyi
8 Li, Baode
8 Wang, Yueshan
7 Cheng, Leslie C.
7 Hu, Yue
7 Iida, Takeshi
7 Izuki, Mitsuo
7 Lan, Jiacheng
7 Lee, Ming-Yi
7 Liu, Jun
7 Ma, Bolin
7 Pradolini, Gladis G.
7 Rafeiro, Humberto
7 Ragusa, Maria Alessandra
7 Samko, Natasha
7 Tao, Jin
6 Chen, Dongxiang
6 Ekincioglu, Ismail
6 Hu, Guoen
6 Jia, Hongchao
6 Omarova, Mehriban N.
6 Qu, Meng
6 Shi, Yanlong
5 Aslam, Muhammad
5 Grafakos, Loukas
5 Hamzayev, Vugar H.
5 He, Suixin
5 Huang, Long
5 Li, Hongliang
5 Li, Junfeng
5 Lin, Chincheng
5 Mizuta, Yoshihiro
5 Ruan, Jianmiao
5 Scapellato, Andrea
5 Shimomura, Tetsu
5 Sun, Wenchang
5 Tao, Wenyu
5 Wen, Yongming
5 Xie, Rulong
5 Yao, Fengping
5 Zhang, Chunjie
5 Zhang, Jing
...and 683 more Authors
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Cited in 209 Serials

82 Acta Mathematica Sinica. English Series
73 Journal of Inequalities and Applications
57 Journal of Function Spaces
47 Journal of Mathematical Analysis and Applications
43 Analysis in Theory and Applications
30 Frontiers of Mathematics in China
29 Applied Mathematics. Series B (English Edition)
25 Science China. Mathematics
24 Mathematische Nachrichten
21 Journal of Mathematical Inequalities
17 Science in China. Series A
17 The Journal of Geometric Analysis
16 Journal of Function Spaces and Applications
16 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
16 Open Mathematics
15 Mathematical Inequalities & Applications
14 Abstract and Applied Analysis
13 The Journal of Fourier Analysis and Applications
13 Journal of Pseudo-Differential Operators and Applications
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Forum Mathematicum
11 Proceedings of the American Mathematical Society
11 Bulletin of the Korean Mathematical Society
11 Potential Analysis
11 Advances in Operator Theory
10 Analysis Mathematica
10 Integral Equations and Operator Theory
10 Positivity
10 Analysis and Mathematical Physics
9 Banach Journal of Mathematical Analysis
9 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
8 Rocky Mountain Journal of Mathematics
8 Czechoslovak Mathematical Journal
8 Journal of Functional Analysis
8 Tôhoku Mathematical Journal. Second Series
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Mediterranean Journal of Mathematics
8 Annals of Functional Analysis
7 Transactions of the American Mathematical Society
7 Integral Transforms and Special Functions
7 Fractional Calculus & Applied Analysis
7 Journal of the Australian Mathematical Society
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Results in Mathematics
6 Acta Mathematicae Applicatae Sinica. English Series
6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
6 Georgian Mathematical Journal
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Applicable Analysis
5 Mathematical Notes
5 Chinese Annals of Mathematics. Series B
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Revista Matemática Complutense
5 Analysis and Applications (Singapore)
5 Complex Variables and Elliptic Equations
5 Complex Analysis and Operator Theory
5 Journal of Nonlinear Science and Applications
5 AIMS Mathematics
4 Mathematical Methods in the Applied Sciences
4 Ukrainian Mathematical Journal
4 Collectanea Mathematica
4 Journal of the Korean Mathematical Society
4 Mathematische Zeitschrift
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
4 Communications on Pure and Applied Analysis
4 Kyoto Journal of Mathematics
4 Journal of Mathematical Research with Applications
4 Analysis and Geometry in Metric Spaces
3 Journal d’Analyse Mathématique
3 Archiv der Mathematik
3 International Journal of Mathematics and Mathematical Sciences
3 Nagoya Mathematical Journal
3 Journal of Mathematical Sciences (New York)
3 Taiwanese Journal of Mathematics
3 Boundary Value Problems
3 Acta Mathematica Sinica. Chinese Series
3 Tbilisi Mathematical Journal
3 Eurasian Mathematical Journal
3 Transactions of A. Razmadze Mathematical Institute
2 Computers & Mathematics with Applications
2 Indian Journal of Pure & Applied Mathematics
2 Israel Journal of Mathematics
2 Acta Mathematica Vietnamica
2 Advances in Mathematics
2 Dissertationes Mathematicae
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Approximation Theory
2 Journal of Computational and Applied Mathematics
2 Journal of the London Mathematical Society. Second Series
2 Monatshefte für Mathematik
2 Tokyo Journal of Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Bulletin of the Iranian Mathematical Society
2 Constructive Approximation
2 Applied Mathematics Letters
2 Journal of Integral Equations and Applications
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
...and 109 more Serials

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