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Author ID: grafakos.loukas Recent zbMATH articles by "Grafakos, Loukas"
Published as: Grafakos, Loukas; Grafakos, L.
all top 5

Co-Authors

24 single-authored
15 Honzík, Petr
13 He, Danqing
8 Liu, Liguang
7 Torres, Rodolfo H.
7 Van Nguyen, Hanh
7 Yang, Dachun
6 Kalton, Nigel John
6 Mastyło, Mieczysław
6 Slavíková, Lenka
4 Yan, Lixin
3 Bilyk, Dmitry
3 Diestel, Geoff
3 Li, Xiaochun
3 Martell, José María (Chema)
3 Oliveira, Lucas S.
3 Park, Bae Jun
2 Bernicot, Frédéric
2 Carro, María Jesús
2 Christ, Michael
2 Duong, Xuan Thinh
2 Fu, Zunwei
2 Gesztesy, Fritz
2 Godefroy, Gilles
2 Li, Xinwei
2 Lu, Shanzhen
2 Maldonado, Diego
2 Miyachi, Akihiko
2 Montgomery-Smith, Stephen J.
2 Morpurgo, Carlo
2 Nakamura, Shohei
2 Pérez, Carlos
2 Rochberg, Richard
2 Ryabogin, Dmitry
2 Sawano, Yoshihiro
2 Seeger, Andreas
2 Si, Zengyan
2 Soria, Fernando
2 Soria, Javier
2 Stefanov, Atanas G.
2 Tao, Terence
2 Terwilleger, Erin
2 Tomita, Naohito
2 Verbitsky, Igor E.
2 Zhao, Fayou
1 Annoni, Marco
1 Asmar, Nakhlé Habib
1 Barrionuevo, Jose A.
1 Bényi, Árpád
1 Buriánková, Eva
1 Chen, Jiecheng
1 Citti, Giovanna
1 Coifman, Ronald Raphaël
1 De Carli, Laura
1 Ding, Yong
1 Dosidis, Georgios
1 Dragičević, Oliver
1 Greenleaf, Allan
1 Gröchenig, Karlheinz
1 He, Sha
1 Iosevich, Alex
1 Kinnunen, Juha
1 Laeng, Enrico
1 Lennard, Chris
1 Li, Ji
1 Mateu, Joan
1 Meskhi, Alexander
1 Mohanty, Parasar
1 Motrunich, Olexei I.
1 Naibo, Virginia
1 Oh, Seungly
1 Okoudjou, Kasso A.
1 Palsson, Eyvindur Ari
1 Peloso, Marco Maria
1 Pereyra, María Cristina
1 Petermichl, Stefanie
1 Reguera Rodríguez, Maria Carmen
1 Ruming
1 Sansing, Christopher
1 Sarti, Alessandro
1 Shrivastava, Saurabh
1 Song, Liang
1 Stockdale, Cody B.
1 Szwedek, Radosław
1 Teschl, Gerald
1 Weiss, Guido Leopold
1 Wu, Yue
1 Xue, Qingying
1 Zhang, Yandan
1 Zhong, Xiao
1 Zhu, Kai
all top 5

Serials

6 Studia Mathematica
6 Proceedings of the American Mathematical Society
5 Journal of Functional Analysis
5 Mathematische Annalen
5 Transactions of the American Mathematical Society
4 The Journal of Geometric Analysis
4 Graduate Texts in Mathematics
3 Journal of Mathematical Analysis and Applications
3 Advances in Mathematics
3 Collectanea Mathematica
3 Indiana University Mathematics Journal
3 Mathematische Zeitschrift
3 Revista Matemática Iberoamericana
3 Publicacions Matemàtiques
3 IMRN. International Mathematics Research Notices
3 Applied and Computational Harmonic Analysis
3 Mathematical Research Letters
3 The Journal of Fourier Analysis and Applications
2 Journal d’Analyse Mathématique
2 Bulletin of the London Mathematical Society
2 Colloquium Mathematicum
2 Illinois Journal of Mathematics
2 Journal für die Reine und Angewandte Mathematik
2 Mathematica Scandinavica
2 Michigan Mathematical Journal
2 Monatshefte für Mathematik
2 Forum Mathematicum
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Contemporary Mathematicians
1 American Mathematical Monthly
1 Houston Journal of Mathematics
1 Israel Journal of Mathematics
1 Arkiv för Matematik
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Dissertationes Mathematicae
1 Duke Mathematical Journal
1 Integral Equations and Operator Theory
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Nagoya Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Real Analysis Exchange
1 Journal of Operator Theory
1 Bulletin of the Korean Mathematical Society
1 Science in China. Series A
1 Differential and Integral Equations
1 Communications in Partial Differential Equations
1 Potential Analysis
1 Positivity
1 Annals of Mathematics. Second Series
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications in Mathematical Analysis
1 RIMS Kôkyûroku Bessatsu
1 Science China. Mathematics
1 Journal of Pseudo-Differential Operators and Applications
1 Transactions of A. Razmadze Mathematical Institute
1 Bulletin of the Hellenic Mathematical Society
1 Undergraduate Texts in Mathematics
1 Advanced Courses in Mathematics – CRM Barcelona

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 4,063 times in 2,742 Documents Cited by Year
Classical Fourier analysis. 2nd ed. Zbl 1220.42001
Grafakos, Loukas
620
2008
Classical and modern Fourier analysis. Zbl 1148.42001
Grafakos, Loukas
456
2004
Classical Fourier analysis. 3rd ed. Zbl 1304.42001
Grafakos, Loukas
348
2014
Modern Fourier analysis. 2nd ed. Zbl 1158.42001
Grafakos, Loukas
310
2009
Multilinear Calderón-Zygmund theory. Zbl 1032.42020
Grafakos, Loukas; Torres, Rodolfo H.
299
2002
Modern Fourier analysis. 3rd ed. Zbl 1304.42002
Grafakos, Loukas
201
2014
Maximal operator and weighted norm inequalities for multilinear singular integrals. Zbl 1033.42010
Grafakos, Loukas; Torres, Rodolfo H.
107
2002
The Kato-Ponce inequality. Zbl 1301.42026
Grafakos, Loukas; Oh, Seungly
94
2014
Best constants for two nonconvolution inequalities. Zbl 0830.42009
Christ, Michael; Grafakos, Loukas
77
1995
On multilinear fractional integrals. Zbl 0808.42014
Grafakos, Loukas
65
1992
\(L^p\) bounds for singular integrals and maximal singular integrals with rough kernels. Zbl 0913.42014
Grafakos, Loukas; Stefanov, Atanas
63
1998
Vector-valued singular integrals and maximal functions on spaces of homogeneous type. Zbl 1169.46022
Grafakos, Loukas; Liu, Liguang; Yang, Dachun
63
2009
Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces. Zbl 1081.42007
Dragičević, Oliver; Grafakos, Loukas; Pereyra, María Cristina; Petermichl, Stefanie
60
2005
Some remarks on multilinear maps and interpolation. Zbl 0982.46018
Grafakos, Loukas; Kalton, Nigel
57
2001
Multilinear Calderón-Zygmund operators on Hardy spaces. Zbl 0986.42008
Grafakos, Loukas; Kalton, Nigel
51
2001
Extrapolation of weighted norm inequalities for multivariable operators and applications. Zbl 1049.42007
Grafakos, Loukas; Martell, José María
51
2004
The Hörmander multiplier theorem for multilinear operators. Zbl 1254.42017
Grafakos, Loukas; Si, Zengyan
46
2012
On multilinear singular integrals of Calderón-Zygmund type. Zbl 1016.42009
Grafakos, Loukas; Torres, Rodolfo H.
45
2002
Maximal function characterizations of Hardy spaces on RD-spaces and their applications. Zbl 1176.42017
Grafakos, Loukas; Liu, LiGuang; Yang, DaChun
45
2008
On multilinear Fourier multipliers of limited smoothness. Zbl 1275.42016
Grafakos, Loukas; Miyachi, Akihiko; Tomita, Naohito
43
2013
Sharp bounds for \(m\)-linear Hardy and Hilbert operators. Zbl 1248.42020
Fu, Zunwei; Grafakos, Loukas; Lu, Shanzhen; Zhao, Fayou
42
2012
Multilinear operators with non-smooth kernels and commutators of singular integrals. Zbl 1195.42056
Duong, Xuan Thinh; Grafakos, Loukas; Yan, Lixin
40
2010
Uniform bounds for the bilinear Hilbert transforms. I. Zbl 1071.44004
Grafakos, Loukas; Li, Xiaochun
37
2004
The Marcinkiewicz multiplier condition for bilinear operators. Zbl 0981.42008
Grafakos, Loukas; Kalton, Nigel J.
33
2001
Maximal operator for multilinear singular integrals with non-smooth kernels. Zbl 1205.42013
Duong, Xuan Thinh; Ruming; Grafakos, Loukas; Li, Ji; Yan, Lixin
30
2009
Hardy space estimates for multilinear operators. I. Zbl 0785.47025
Coifman, Ronald R.; Grafakos, Loukas
27
1992
Multilinear analysis on metric spaces. Zbl 1301.42025
Grafakos, Loukas; Liu, Liguang; Maldonado, Diego; Yang, Dachun
26
2014
Hardy space estimates for multilinear operators. II. Zbl 0785.47026
Grafakos, Loukas
24
1992
Bilinear operators on Herz-type Hardy spaces. Zbl 0893.47044
Grafakos, Loukas; Li, Xinwei; Yang, Dachun
24
1998
On Fourier transforms of radial functions and distributions. Zbl 1311.42020
Grafakos, Loukas; Teschl, Gerald
24
2013
Multiple-weighted norm inequalities for maximal multi-linear singular integrals with non-smooth kernels. Zbl 1225.42006
Grafakos, Loukas; Liu, Liguang; Yang, Dachun
24
2011
The disc as a bilinear multiplier. Zbl 1143.42015
Grafakos, Loukas; Li, Xiaochun
22
2006
Convolution Calderón-Zygmund singular integral operators with rough kernels. Zbl 0916.42010
Grafakos, L.; Stefanov, A.
20
1999
Discrete decompositions for bilinear operators and almost diagonal conditions. Zbl 0988.42013
Grafakos, Loukas; Torres, Rodolfo H.
19
2002
A remark on an endpoint Kato-Ponce inequality. Zbl 1340.42027
Grafakos, Loukas; Maldonado, Diego; Naibo, Virginia
19
2014
The multilinear strong maximal function. Zbl 1219.42008
Grafakos, Loukas; Liu, Liguang; Pérez, Carlos; Torres, Rodolfo H.
18
2011
Gabor frames and directional time-frequency analysis. Zbl 1258.42032
Grafakos, Loukas; Sansing, Christopher
18
2008
Pseudodifferential operators with homogeneous symbols. Zbl 0966.35144
Grafakos, Loukas; Torres, Rodolfo H.
18
1999
A class of Fourier multipliers for modulation spaces. Zbl 1078.42022
Bényi, Árpád; Grafakos, Loukas; Gröchenig, Karlheinz; Okoudjou, Kasso
16
2005
Radial maximal function characterizations for Hardy spaces on RD-spaces. Zbl 1205.42016
Grafakos, Loukas; Liu, Liguang; Yang, Dachun
16
2009
Rough bilinear singular integrals. Zbl 1402.42016
Grafakos, Loukas; He, Danqing; Honzík, Petr
16
2018
Multilinear Fourier multipliers with minimal Sobolev regularity. I. Zbl 1339.42012
Grafakos, Loukas; van Nguyen, Hanh
16
2016
Best constants for uncentered maximal functions. Zbl 0865.42020
Grafakos, Loukas; Montgomery-Smith, Stephen
15
1997
A multilinear Schur test and multiplier operators. Zbl 0994.47028
Grafakos, Loukas; Torres, Rodolfo H.
15
2001
Weighted norm inequalities for maximally modulated singular integral operators. Zbl 1133.42019
Grafakos, Loukas; Martell, José María; Soria, Fernando
14
2005
Multilinear Fourier multipliers with minimal Sobolev regularity. II. Zbl 1372.42007
Grafakos, Loukas; Miyachi, Akihiko; van Nguyen, Hanh; Tomita, Naohito
14
2017
On maximal functions for Mikhlin-Hörmander multipliers. Zbl 1130.42013
Grafakos, Loukas; Honzík, Petr; Seeger, Andreas
13
2006
\(L^p\) bounds for a maximal dyadic sum operator. Zbl 1076.42013
Grafakos, Loukas; Tao, Terence; Terwilleger, Erin
13
2004
Multilinear generalized Radon transforms and point configurations. Zbl 1317.44002
Grafakos, Loukas; Greenleaf, Allan; Iosevich, Alex; Palsson, Eyvindur
13
2015
Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type. Zbl 1058.42011
Christ, Michael; Grafakos, Loukas; Honzík, Petr; Seeger, Andreas
13
2005
Characterization of \(L^p (\mathbb R^n)\) using Gabor frames. Zbl 0982.42017
Grafakos, Loukas; Lennard, Chris
12
2001
Weighted weak-type \((1, 1)\) estimates via Rubio de Francia extrapolation. Zbl 1325.42020
Carro, María J.; Grafakos, Loukas; Soria, Javier
11
2015
The bilinear Bochner-Riesz problem. Zbl 1327.42013
Bernicot, Frédéric; Grafakos, Loukas; Song, Liang; Yan, Lixin
11
2015
Sharp inequalities for maximal functions associated with general measures. Zbl 0918.42010
Grafakos, L.; Kinnunen, J.
10
1998
The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant. Zbl 1242.46025
Grafakos, Loukas; Liu, Liguang; Lu, Shanzhen; Zhao, Fayou
10
2012
Multilinear multiplier theorems and applications. Zbl 1423.42018
Grafakos, Loukas; He, Danqing; Nguyen, Hanh Van; Yan, Lixin
9
2019
Unboundedness of the ball bilinear multiplier operator. Zbl 1131.43003
Diestel, Geoff; Grafakos, Loukas
9
2007
Multilinear interpolation between adjoint operators. Zbl 1031.46026
Grafakos, Loukas; Tao, Terence
9
2003
Estimates for maximal singular integrals. Zbl 1036.42008
Grafakos, Loukas
9
2003
On the \(p\)-independence boundedness property of Calderón-Zygmund theory. Zbl 1183.42023
Grafakos, Loukas; Honzík, Petr; Ryabogin, Dmitry
9
2007
Interpolation of bilinear operators between quasi-Banach spaces. Zbl 1121.46018
Grafakos, Loukas; Mastyło, Mieczysław
9
2006
The Hörmander multiplier theorem. I: The linear case revisited. Zbl 1395.42025
Grafakos, Loukas; He, Danqing; Honzik, Petr; van Nguyen, Hanh
9
2017
A weak-type estimate for commutators. Zbl 1254.42023
Grafakos, Loukas; Honzík, Petr
9
2012
A sharp version of the Hörmander multiplier theorem. Zbl 1459.42013
Grafakos, Loukas; Slavíková, Lenka
9
2019
Weak Hardy spaces. Zbl 1345.42026
Grafakos, Loukas; He, Danqing
8
2016
Boundedness of paraproduct operators on RD-spaces. Zbl 1217.42031
Grafakos, Loukas; Liu, Liguang; Yang, Dachun
8
2010
Bilinear spherical maximal function. Zbl 1407.42007
Barrionuevo, J. A.; Grafakos, Loukas; He, Danqing; Honzík, Petr; Oliveira, Lucas
8
2018
Multilinear operators in harmonic analysis and partial differential equations. Zbl 1256.42020
Grafakos, Loukas
8
2012
\(L^2\times L^2 \rightarrow L^1\) boundedness criteria. Zbl 1431.42021
Grafakos, Loukas; He, Danqing; Slavíková, Lenka
8
2020
Bilinear Fourier integral operators. Zbl 1210.42040
Grafakos, Loukas; Peloso, Marco M.
7
2010
Endpoint bounds for an analytic family of Hilbert transforms. Zbl 0778.46032
Grafakos, Loukas
7
1991
The Hörmander multiplier theorem. II: The bilinear local \(L^2\) case. Zbl 1405.42014
Grafakos, Loukas; He, Danqing; Honzík, Petr
7
2018
A Selberg integral formula and applications. Zbl 1006.42017
Grafakos, Loukas; Morpurgo, Carlo
7
1999
Carleson measures associated with families of multilinear operators. Zbl 1267.42025
Grafakos, Loukas; Oliveira, Lucas
7
2012
Best bounds for the Hilbert transform on \(L^ p(\mathbb{R}^ 1)\). Zbl 0883.42007
Grafakos, Loukas
6
1997
The Hörmander multiplier theorem. III: The complete bilinear case via interpolation. Zbl 1426.42012
Grafakos, Loukas; Van Nguyen, Hanh
6
2019
Analytic families of multilinear operators. Zbl 1308.46030
Grafakos, Loukas; Mastyło, Mieczysław
6
2014
An elementary proof of the square summability of the discrete Hilbert transform. Zbl 0866.26014
Grafakos, Loukas
5
1994
Distributional estimates for the bilinear Hilbert transform. Zbl 1112.42005
Bilyk, Dmitriy; Grafakos, Loukas
5
2006
On the restriction conjecture. Zbl 1103.42007
de Carli, Laura; Grafakos, Loukas
5
2004
Maximal operators associated with bilinear multipliers of limited decay. Zbl 1470.42029
Grafakos, Loukas; He, Danqing; Honzík, Petr
5
2021
Translation-invariant bilinear operators with positive kernels. Zbl 1193.42067
Grafakos, Loukas; Soria, Javier
4
2010
Maximal transference and summability of multilinear Fourier series. Zbl 1102.42007
Grafakos, Loukas; Honzík, Petr
4
2006
Conditions for boundedness into Hardy spaces. Zbl 1430.42015
Grafakos, Loukas; Nakamura, Shohei; van Nguyen, Hanh; Sawano, Yoshihiro
4
2019
The Marcinkiewicz multiplier theorem revisited. Zbl 1406.42014
Grafakos, Loukas; Slavíková, Lenka
4
2019
A limited-range Calderón-Zygmund theorem. Zbl 1440.42054
Grafakos, Loukas; Stockdale, Cody B.
4
2019
Bilinear operators on homogeneous groups. Zbl 0994.47034
Grafakos, Loukas; Li, Xinwei
4
2000
Method of rotations for bilinear singular integrals. Zbl 1214.42017
Diestel, Geoff; Grafakos, Loukas; Honzík, Peter; Si, Zengyan; Terwilleger, Erin
3
2011
A sharp estimate for the Hardy-Littlewood maximal function. Zbl 0933.42010
Grafakos, Loukas; Montgomery-Smith, Stephen; Motrunich, Olexei
3
1999
Multilinear extrapolation and applications to the bilinear Hilbert transform. Zbl 1168.47003
Carro, María Jesús; Grafakos, Loukas; Martell, José María; Soria, Fernando
3
2009
Restricted weak type versus weak type. Zbl 1087.46015
Grafakos, Loukas; Mastylo, Mieczyslaw
3
2005
A new way of looking at distributional estimates; application for the bilinear Hilbert transform. Zbl 1112.42006
Bilyk, Dmitriy; Grafakos, Loukas
3
2006
Multilinear Calderón-Zygmund operators on Hardy spaces. II. Zbl 1325.42012
Grafakos, Loukas; He, Danqing
3
2014
Multilinear paraproducts revisited. Zbl 1342.42018
Grafakos, Loukas; He, Danqing; Kalton, Nigel; Mastyło, Mieczysław
3
2015
Strong type endpoint bounds for analytic families of fractional integrals. Zbl 0823.42008
Grafakos, Loukas
2
1993
Maximal bilinear singular integral operators associated with dilations of planar sets. Zbl 1176.42008
Diestel, Geoff; Grafakos, Loukas
2
2007
Erratum: “Compensated compactness and the Heisenberg group”. Zbl 0900.43001
Grafakos, Loukas; Rochberg, Richard
2
1995
Corrigendum to “Carleson measures associated with families of multilinear operators”. Zbl 1293.42026
Grafakos, Loukas; Oliveira, Lucas
2
2014
Multilinear harmonic analysis. Zbl 1289.42034
Grafakos, Loukas
2
2011
Characterization of multilinear multipliers in terms of Sobolev space regularity. Zbl 1470.42017
Grafakos, Loukas; Park, Bae Jun
2
2021
The lattice bump multiplier problem. Zbl 1481.42011
Buriánková, Eva; Grafakos, Loukas; He, Danqing; Honzík, Petr
1
2022
Maximal operators associated with bilinear multipliers of limited decay. Zbl 1470.42029
Grafakos, Loukas; He, Danqing; Honzík, Petr
5
2021
Characterization of multilinear multipliers in terms of Sobolev space regularity. Zbl 1470.42017
Grafakos, Loukas; Park, Bae Jun
2
2021
Some remarks on the Mikhlin-Hörmander and Marcinkiewicz multiplier theorems: a short historical account and a recent improvement. Zbl 1472.42014
Grafakos, Loukas
2
2021
Fractional Fourier transforms on \(L^p\) and applications. Zbl 1471.42009
Chen, Wei; Fu, Zunwei; Grafakos, Loukas; Wu, Yue
2
2021
\(L^2\times L^2 \rightarrow L^1\) boundedness criteria. Zbl 1431.42021
Grafakos, Loukas; He, Danqing; Slavíková, Lenka
8
2020
Multilinear multiplier theorems and applications. Zbl 1423.42018
Grafakos, Loukas; He, Danqing; Nguyen, Hanh Van; Yan, Lixin
9
2019
A sharp version of the Hörmander multiplier theorem. Zbl 1459.42013
Grafakos, Loukas; Slavíková, Lenka
9
2019
The Hörmander multiplier theorem. III: The complete bilinear case via interpolation. Zbl 1426.42012
Grafakos, Loukas; Van Nguyen, Hanh
6
2019
Conditions for boundedness into Hardy spaces. Zbl 1430.42015
Grafakos, Loukas; Nakamura, Shohei; van Nguyen, Hanh; Sawano, Yoshihiro
4
2019
The Marcinkiewicz multiplier theorem revisited. Zbl 1406.42014
Grafakos, Loukas; Slavíková, Lenka
4
2019
A limited-range Calderón-Zygmund theorem. Zbl 1440.42054
Grafakos, Loukas; Stockdale, Cody B.
4
2019
Rough bilinear singular integrals. Zbl 1402.42016
Grafakos, Loukas; He, Danqing; Honzík, Petr
16
2018
Bilinear spherical maximal function. Zbl 1407.42007
Barrionuevo, J. A.; Grafakos, Loukas; He, Danqing; Honzík, Petr; Oliveira, Lucas
8
2018
The Hörmander multiplier theorem. II: The bilinear local \(L^2\) case. Zbl 1405.42014
Grafakos, Loukas; He, Danqing; Honzík, Petr
7
2018
Complex analysis with applications. Zbl 1409.30001
Asmar, Nakhlé H.; Grafakos, Loukas
1
2018
Multilinear Fourier multipliers with minimal Sobolev regularity. II. Zbl 1372.42007
Grafakos, Loukas; Miyachi, Akihiko; van Nguyen, Hanh; Tomita, Naohito
14
2017
The Hörmander multiplier theorem. I: The linear case revisited. Zbl 1395.42025
Grafakos, Loukas; He, Danqing; Honzik, Petr; van Nguyen, Hanh
9
2017
Fractional differentiation: Leibniz meets Hölder. Zbl 1376.42017
Grafakos, Loukas
1
2017
Multilinear Fourier multipliers with minimal Sobolev regularity. I. Zbl 1339.42012
Grafakos, Loukas; van Nguyen, Hanh
16
2016
Weak Hardy spaces. Zbl 1345.42026
Grafakos, Loukas; He, Danqing
8
2016
Certain multi(sub)linear square functions. Zbl 1346.42018
Grafakos, Loukas; He, Sha; Xue, Qingying
1
2016
Selecta. Volume 2. Edited by Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos and Igor Verbitsky. Zbl 1347.01021
Kalton, Nigel J.
1
2016
Multilinear generalized Radon transforms and point configurations. Zbl 1317.44002
Grafakos, Loukas; Greenleaf, Allan; Iosevich, Alex; Palsson, Eyvindur
13
2015
Weighted weak-type \((1, 1)\) estimates via Rubio de Francia extrapolation. Zbl 1325.42020
Carro, María J.; Grafakos, Loukas; Soria, Javier
11
2015
The bilinear Bochner-Riesz problem. Zbl 1327.42013
Bernicot, Frédéric; Grafakos, Loukas; Song, Liang; Yan, Lixin
11
2015
Multilinear paraproducts revisited. Zbl 1342.42018
Grafakos, Loukas; He, Danqing; Kalton, Nigel; Mastyło, Mieczysław
3
2015
Corrigendum: best bounds for the Hilbert transform on \(L^p(\mathbb{R}^1)\). Zbl 1404.42010
Grafakos, Loukas; Savage, Thomas
1
2015
Harmonic and geometric analysis. Lecture notes of some of the courses, Barcelona, Spain, February–July 2009. Edited by Joan Mateu. Zbl 1318.42001
Citti, Giovanna; Grafakos, Loukas; Pérez, Carlos; Sarti, Alessandro; Zhong, Xiao
1
2015
Classical Fourier analysis. 3rd ed. Zbl 1304.42001
Grafakos, Loukas
348
2014
Modern Fourier analysis. 3rd ed. Zbl 1304.42002
Grafakos, Loukas
201
2014
The Kato-Ponce inequality. Zbl 1301.42026
Grafakos, Loukas; Oh, Seungly
94
2014
Multilinear analysis on metric spaces. Zbl 1301.42025
Grafakos, Loukas; Liu, Liguang; Maldonado, Diego; Yang, Dachun
26
2014
A remark on an endpoint Kato-Ponce inequality. Zbl 1340.42027
Grafakos, Loukas; Maldonado, Diego; Naibo, Virginia
19
2014
Analytic families of multilinear operators. Zbl 1308.46030
Grafakos, Loukas; Mastyło, Mieczysław
6
2014
Multilinear Calderón-Zygmund operators on Hardy spaces. II. Zbl 1325.42012
Grafakos, Loukas; He, Danqing
3
2014
Corrigendum to “Carleson measures associated with families of multilinear operators”. Zbl 1293.42026
Grafakos, Loukas; Oliveira, Lucas
2
2014
Interpolation of multilinear operators acting between quasi-Banach spaces. Zbl 1307.46011
Grafakos, L.; Mastyło, M.; Szwedek, R.
1
2014
On multilinear Fourier multipliers of limited smoothness. Zbl 1275.42016
Grafakos, Loukas; Miyachi, Akihiko; Tomita, Naohito
43
2013
On Fourier transforms of radial functions and distributions. Zbl 1311.42020
Grafakos, Loukas; Teschl, Gerald
24
2013
The Hörmander multiplier theorem for multilinear operators. Zbl 1254.42017
Grafakos, Loukas; Si, Zengyan
46
2012
Sharp bounds for \(m\)-linear Hardy and Hilbert operators. Zbl 1248.42020
Fu, Zunwei; Grafakos, Loukas; Lu, Shanzhen; Zhao, Fayou
42
2012
The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant. Zbl 1242.46025
Grafakos, Loukas; Liu, Liguang; Lu, Shanzhen; Zhao, Fayou
10
2012
A weak-type estimate for commutators. Zbl 1254.42023
Grafakos, Loukas; Honzík, Petr
9
2012
Multilinear operators in harmonic analysis and partial differential equations. Zbl 1256.42020
Grafakos, Loukas
8
2012
Carleson measures associated with families of multilinear operators. Zbl 1267.42025
Grafakos, Loukas; Oliveira, Lucas
7
2012
Multiple-weighted norm inequalities for maximal multi-linear singular integrals with non-smooth kernels. Zbl 1225.42006
Grafakos, Loukas; Liu, Liguang; Yang, Dachun
24
2011
The multilinear strong maximal function. Zbl 1219.42008
Grafakos, Loukas; Liu, Liguang; Pérez, Carlos; Torres, Rodolfo H.
18
2011
Method of rotations for bilinear singular integrals. Zbl 1214.42017
Diestel, Geoff; Grafakos, Loukas; Honzík, Peter; Si, Zengyan; Terwilleger, Erin
3
2011
Multilinear harmonic analysis. Zbl 1289.42034
Grafakos, Loukas
2
2011
Multilinear operators with non-smooth kernels and commutators of singular integrals. Zbl 1195.42056
Duong, Xuan Thinh; Grafakos, Loukas; Yan, Lixin
40
2010
Boundedness of paraproduct operators on RD-spaces. Zbl 1217.42031
Grafakos, Loukas; Liu, Liguang; Yang, Dachun
8
2010
Bilinear Fourier integral operators. Zbl 1210.42040
Grafakos, Loukas; Peloso, Marco M.
7
2010
Translation-invariant bilinear operators with positive kernels. Zbl 1193.42067
Grafakos, Loukas; Soria, Javier
4
2010
The bilinear multiplier problem for strictly convex compact sets. Zbl 1194.42020
Grafakos, Loukas; Reguera Rodríguez, Maria Carmen
1
2010
Modern Fourier analysis. 2nd ed. Zbl 1158.42001
Grafakos, Loukas
310
2009
Vector-valued singular integrals and maximal functions on spaces of homogeneous type. Zbl 1169.46022
Grafakos, Loukas; Liu, Liguang; Yang, Dachun
63
2009
Maximal operator for multilinear singular integrals with non-smooth kernels. Zbl 1205.42013
Duong, Xuan Thinh; Ruming; Grafakos, Loukas; Li, Ji; Yan, Lixin
30
2009
Radial maximal function characterizations for Hardy spaces on RD-spaces. Zbl 1205.42016
Grafakos, Loukas; Liu, Liguang; Yang, Dachun
16
2009
Multilinear extrapolation and applications to the bilinear Hilbert transform. Zbl 1168.47003
Carro, María Jesús; Grafakos, Loukas; Martell, José María; Soria, Fernando
3
2009
On an inequality of Sagher and Zhou concerning Stein’s Lemma. Zbl 1187.42005
Annoni, Marco; Grafakos, Loukas; Honzík, Petr
1
2009
Classical Fourier analysis. 2nd ed. Zbl 1220.42001
Grafakos, Loukas
620
2008
Maximal function characterizations of Hardy spaces on RD-spaces and their applications. Zbl 1176.42017
Grafakos, Loukas; Liu, LiGuang; Yang, DaChun
45
2008
Gabor frames and directional time-frequency analysis. Zbl 1258.42032
Grafakos, Loukas; Sansing, Christopher
18
2008
Unboundedness of the ball bilinear multiplier operator. Zbl 1131.43003
Diestel, Geoff; Grafakos, Loukas
9
2007
On the \(p\)-independence boundedness property of Calderón-Zygmund theory. Zbl 1183.42023
Grafakos, Loukas; Honzík, Petr; Ryabogin, Dmitry
9
2007
Maximal bilinear singular integral operators associated with dilations of planar sets. Zbl 1176.42008
Diestel, Geoff; Grafakos, Loukas
2
2007
The disc as a bilinear multiplier. Zbl 1143.42015
Grafakos, Loukas; Li, Xiaochun
22
2006
On maximal functions for Mikhlin-Hörmander multipliers. Zbl 1130.42013
Grafakos, Loukas; Honzík, Petr; Seeger, Andreas
13
2006
Interpolation of bilinear operators between quasi-Banach spaces. Zbl 1121.46018
Grafakos, Loukas; Mastyło, Mieczysław
9
2006
Distributional estimates for the bilinear Hilbert transform. Zbl 1112.42005
Bilyk, Dmitriy; Grafakos, Loukas
5
2006
Maximal transference and summability of multilinear Fourier series. Zbl 1102.42007
Grafakos, Loukas; Honzík, Petr
4
2006
A new way of looking at distributional estimates; application for the bilinear Hilbert transform. Zbl 1112.42006
Bilyk, Dmitriy; Grafakos, Loukas
3
2006
Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces. Zbl 1081.42007
Dragičević, Oliver; Grafakos, Loukas; Pereyra, María Cristina; Petermichl, Stefanie
60
2005
A class of Fourier multipliers for modulation spaces. Zbl 1078.42022
Bényi, Árpád; Grafakos, Loukas; Gröchenig, Karlheinz; Okoudjou, Kasso
16
2005
Weighted norm inequalities for maximally modulated singular integral operators. Zbl 1133.42019
Grafakos, Loukas; Martell, José María; Soria, Fernando
14
2005
Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type. Zbl 1058.42011
Christ, Michael; Grafakos, Loukas; Honzík, Petr; Seeger, Andreas
13
2005
Restricted weak type versus weak type. Zbl 1087.46015
Grafakos, Loukas; Mastylo, Mieczyslaw
3
2005
Interplay between distributional estimates and boundedness in harmonic analysis. Zbl 1082.42007
Bilyk, Dmitriy; Grafakos, Loukas
1
2005
Classical and modern Fourier analysis. Zbl 1148.42001
Grafakos, Loukas
456
2004
Extrapolation of weighted norm inequalities for multivariable operators and applications. Zbl 1049.42007
Grafakos, Loukas; Martell, José María
51
2004
Uniform bounds for the bilinear Hilbert transforms. I. Zbl 1071.44004
Grafakos, Loukas; Li, Xiaochun
37
2004
\(L^p\) bounds for a maximal dyadic sum operator. Zbl 1076.42013
Grafakos, Loukas; Tao, Terence; Terwilleger, Erin
13
2004
On the restriction conjecture. Zbl 1103.42007
de Carli, Laura; Grafakos, Loukas
5
2004
Multilinear interpolation between adjoint operators. Zbl 1031.46026
Grafakos, Loukas; Tao, Terence
9
2003
Estimates for maximal singular integrals. Zbl 1036.42008
Grafakos, Loukas
9
2003
The bilinear multiplier problem for the disc. Zbl 1053.42018
Grafakos, Loukas; Li, Xiaochun
1
2003
Multilinear Calderón-Zygmund theory. Zbl 1032.42020
Grafakos, Loukas; Torres, Rodolfo H.
299
2002
Maximal operator and weighted norm inequalities for multilinear singular integrals. Zbl 1033.42010
Grafakos, Loukas; Torres, Rodolfo H.
107
2002
On multilinear singular integrals of Calderón-Zygmund type. Zbl 1016.42009
Grafakos, Loukas; Torres, Rodolfo H.
45
2002
Discrete decompositions for bilinear operators and almost diagonal conditions. Zbl 0988.42013
Grafakos, Loukas; Torres, Rodolfo H.
19
2002
Some remarks on multilinear maps and interpolation. Zbl 0982.46018
Grafakos, Loukas; Kalton, Nigel
57
2001
Multilinear Calderón-Zygmund operators on Hardy spaces. Zbl 0986.42008
Grafakos, Loukas; Kalton, Nigel
51
2001
The Marcinkiewicz multiplier condition for bilinear operators. Zbl 0981.42008
Grafakos, Loukas; Kalton, Nigel J.
33
2001
A multilinear Schur test and multiplier operators. Zbl 0994.47028
Grafakos, Loukas; Torres, Rodolfo H.
15
2001
Characterization of \(L^p (\mathbb R^n)\) using Gabor frames. Zbl 0982.42017
Grafakos, Loukas; Lennard, Chris
12
2001
Bilinear operators on homogeneous groups. Zbl 0994.47034
Grafakos, Loukas; Li, Xinwei
4
2000
Convolution Calderón-Zygmund singular integral operators with rough kernels. Zbl 0916.42010
Grafakos, L.; Stefanov, A.
20
1999
Pseudodifferential operators with homogeneous symbols. Zbl 0966.35144
Grafakos, Loukas; Torres, Rodolfo H.
18
1999
A Selberg integral formula and applications. Zbl 1006.42017
Grafakos, Loukas; Morpurgo, Carlo
7
1999
...and 16 more Documents
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Cited by 2,445 Authors

105 Yang, Dachun
66 Grafakos, Loukas
43 Yuan, Wen
39 Xue, Qingying
33 Weisz, Ferenc
32 Chen, Jiecheng
32 Ding, Yong
28 Yang, Sibei
27 Wu, Huoxiong
26 Fan, Dashan
26 Hu, Guoen
25 Fu, Zunwei
25 Lu, Shanzhen
25 Sawano, Yoshihiro
25 Yan, Dunyan
24 Torres, Rodolfo H.
23 Yabuta, Kôzô
22 Li, Kangwei
21 Meskhi, Alexander
20 Duong, Xuan Thinh
20 Lerner, Andrei K.
20 Li, Ji
20 Liu, Feng
20 Liu, Liguang
19 Tomita, Naohito
19 Zhao, Fayou
18 Bényi, Árpád
18 Bernicot, Frédéric
18 Chen, Yanping
18 Lu, Guozhen
18 Martell, José María (Chema)
17 Ho, Kwok-Pun
17 Honzík, Petr
17 Moen, Kabe
17 Osękowski, Adam
17 Zhou, Jiang
16 Naibo, Virginia
16 Pérez, Carlos
16 Xu, Jingshi
15 He, Danqing
15 Mastyło, Mieczysław
15 Schikorra, Armin
15 Shrivastava, Saurabh
15 Si, Zengyan
15 Sun, Wenchang
15 Thiele, Christoph Martin
15 Yu, Xiao
14 Dai, Mimi
14 Tao, Xiangxing
14 Wick, Brett D.
14 Xiao, Jie
14 Zhao, Jiman
13 Carro, María Jesús
13 Chang, Der-Chen E.
13 Cruz-Uribe, David Vincente
13 Duong, Dao Van
13 Kokilashvili, Vakhtang Mikhailovich
13 Li, Baode
13 Sukochev, Fedor Anatol’evich
13 Yang, Dongyong
12 Cao, Jun
12 di Plinio, Francesco
12 Hussain, Amjad
12 Nakai, Eiichi
12 Wei, Mingquan
11 Betancor Perez, Jorge Juan
11 Byun, Sun-Sig
11 Ferreira, Lucas Catão de Freitas
11 Fu, Xing
11 Gao, Guilian
11 Guo, Weichao
11 Miyachi, Akihiko
11 Nguyen, Thanh-Nhan
11 Tan, Zhong
11 Tran, Minh Phuong
11 Wu, Qingyan
11 Wu, Xinfeng
11 Yan, Lixin
11 Zhang, Pu
10 Chen, Peng
10 Karlovych, Oleksiy
10 Nguyen Minh Chuong
10 Ombrosi, Sheldy Javier
9 Castro, Alejandro J.
9 Da Lio, Francesca
9 Hart, Jarod V.
9 He, Qianjun
9 Jiao, Yong
9 Komori-Furuya, Yasuo
9 Lai, Xudong
9 Li, Buyang
9 Lin, Yan
9 Muscalu, Camil
9 Rafeiro, Humberto
9 Rodríguez-Mesa, Lourdes
9 Spector, Daniel E.
9 The Anh Bui
9 Veraar, Mark C.
9 Vuorinen, Emil
9 Zhuo, Ciqiang
...and 2,345 more Authors
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Cited in 345 Serials

172 Journal of Mathematical Analysis and Applications
127 Journal of Functional Analysis
110 The Journal of Fourier Analysis and Applications
83 Transactions of the American Mathematical Society
79 The Journal of Geometric Analysis
67 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
67 Proceedings of the American Mathematical Society
66 Journal of Differential Equations
56 Journal of Inequalities and Applications
54 Acta Mathematica Sinica. English Series
47 Mathematische Annalen
45 Science China. Mathematics
40 Advances in Mathematics
38 Journal of Function Spaces
34 Mathematische Zeitschrift
33 Revista Matemática Iberoamericana
33 Potential Analysis
31 Journal of Pseudo-Differential Operators and Applications
29 Mathematische Nachrichten
28 Journal d’Analyse Mathématique
27 Applied Mathematics. Series B (English Edition)
27 Frontiers of Mathematics in China
26 Archive for Rational Mechanics and Analysis
25 Integral Equations and Operator Theory
24 Mathematical Inequalities & Applications
23 Discrete and Continuous Dynamical Systems
22 Journal of Mathematical Fluid Mechanics
21 Applied and Computational Harmonic Analysis
21 Positivity
20 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 Communications in Mathematical Physics
19 Forum Mathematicum
19 SIAM Journal on Mathematical Analysis
19 Communications in Contemporary Mathematics
19 Communications on Pure and Applied Analysis
19 Journal of Function Spaces and Applications
19 Banach Journal of Mathematical Analysis
18 Calculus of Variations and Partial Differential Equations
17 Collectanea Mathematica
17 Monatshefte für Mathematik
16 Journal of Approximation Theory
15 Journal of Evolution Equations
15 Acta Mathematica Scientia. Series B. (English Edition)
15 Analysis in Theory and Applications
14 Results in Mathematics
14 Communications in Partial Differential Equations
13 Acta Mathematica Hungarica
13 Revista Matemática Complutense
13 Analysis and Applications (Singapore)
12 Israel Journal of Mathematics
12 Studia Mathematica
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Abstract and Applied Analysis
12 Mediterranean Journal of Mathematics
11 Analysis Mathematica
11 Mathematical Notes
11 Journal of the Mathematical Society of Japan
11 Taiwanese Journal of Mathematics
11 Journal of the Australian Mathematical Society
11 Journal of Mathematical Inequalities
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Archiv der Mathematik
10 Chinese Annals of Mathematics. Series B
10 Nonlinear Analysis. Real World Applications
10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Illinois Journal of Mathematics
9 Bulletin of the Korean Mathematical Society
9 Bulletin des Sciences Mathématiques
9 Annales Academiae Scientiarum Fennicae. Mathematica
9 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
9 Annals of Functional Analysis
9 Forum of Mathematics, Sigma
8 Applicable Analysis
8 Computers & Mathematics with Applications
8 Annales de l’Institut Fourier
8 Memoirs of the American Mathematical Society
8 Constructive Approximation
8 Advances in Nonlinear Analysis
8 Open Mathematics
7 Journal of Mathematical Physics
7 Czechoslovak Mathematical Journal
7 Manuscripta Mathematica
7 Georgian Mathematical Journal
7 Complex Analysis and Operator Theory
7 Analysis and Mathematical Physics
6 Inverse Problems
6 Rocky Mountain Journal of Mathematics
6 The Annals of Probability
6 Indiana University Mathematics Journal
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Publicacions Matemàtiques
6 The Annals of Applied Probability
6 Journal of Mathematical Sciences (New York)
6 NoDEA. Nonlinear Differential Equations and Applications
6 International Journal of Wavelets, Multiresolution and Information Processing
6 Analysis & PDE
6 Transactions of A. Razmadze Mathematical Institute
5 Bulletin of the Australian Mathematical Society
5 Journal of Statistical Physics
...and 245 more Serials
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Cited in 54 Fields

1,663 Harmonic analysis on Euclidean spaces (42-XX)
787 Partial differential equations (35-XX)
674 Functional analysis (46-XX)
502 Operator theory (47-XX)
185 Real functions (26-XX)
175 Fluid mechanics (76-XX)
131 Probability theory and stochastic processes (60-XX)
110 Abstract harmonic analysis (43-XX)
100 Functions of a complex variable (30-XX)
67 Integral transforms, operational calculus (44-XX)
61 Approximations and expansions (41-XX)
58 Global analysis, analysis on manifolds (58-XX)
52 Numerical analysis (65-XX)
47 Potential theory (31-XX)
43 Measure and integration (28-XX)
40 Topological groups, Lie groups (22-XX)
37 Quantum theory (81-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
33 Integral equations (45-XX)
32 Statistical mechanics, structure of matter (82-XX)
31 Information and communication theory, circuits (94-XX)
28 Number theory (11-XX)
27 Dynamical systems and ergodic theory (37-XX)
24 Several complex variables and analytic spaces (32-XX)
23 Special functions (33-XX)
22 Differential geometry (53-XX)
20 Mechanics of deformable solids (74-XX)
19 Optics, electromagnetic theory (78-XX)
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17 Convex and discrete geometry (52-XX)
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10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Combinatorics (05-XX)
7 Sequences, series, summability (40-XX)
5 Systems theory; control (93-XX)
4 Group theory and generalizations (20-XX)
4 Manifolds and cell complexes (57-XX)
3 General topology (54-XX)
3 Mechanics of particles and systems (70-XX)
3 Relativity and gravitational theory (83-XX)
3 Operations research, mathematical programming (90-XX)
2 Field theory and polynomials (12-XX)
2 Algebraic geometry (14-XX)
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2 Astronomy and astrophysics (85-XX)
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