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Lerner, Andrei K.

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Author ID: lerner.andrei-k Recent zbMATH articles by "Lerner, Andrei K."
Published as: Lerner, Andrei K.; Lerner, A. K.
External Links: MGP
Documents Indexed: 60 Publications since 1996

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 1,055 times in 644 Documents Cited by Year
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory. Zbl 1160.42009
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos; Torres, Rodolfo H.; Trujillo-González, Rodrigo
177
2009
A simple proof of the \(A_{2}\) conjecture. Zbl 1318.42018
Lerner, Andrei K.
80
2013
Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals. Zbl 1226.42010
Lerner, Andrei K.
59
2011
On an estimate of Calderón-Zygmund operators by dyadic positive operators. Zbl 1285.42015
Lerner, Andrei K.
54
2013
On pointwise estimates involving sparse operators. Zbl 1347.42030
Lerner, Andrei K.
51
2016
Multidimensional Hausdorff operators on the real Hardy space. Zbl 1143.47023
Lerner, A. K.; Liflyand, E.
51
2007
A pointwise estimate for the local sharp maximal function with applications to singular integrals. Zbl 1203.42023
Lerner, Andrei K.
50
2010
Intuitive dyadic calculus: the basics. Zbl 1440.42062
Lerner, Andrei K.; Nazarov, Fedor
40
2019
Some remarks on the Hardy-Littlewood maximal function on variable \(L^p\) spaces. Zbl 1092.42009
Lerner, Andrei K.
36
2005
On pointwise and weighted estimates for commutators of Calderón-Zygmund operators. Zbl 1379.42007
Lerner, Andrei K.; Ombrosi, Sheldy; Rivera-Ríos, Israel P.
34
2017
\(A_1\) bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden. Zbl 1169.42006
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
32
2009
Weighted norm inequalities for the local sharp maximal function. Zbl 1098.42013
Lerner, A. K.
28
2004
An elementary approach to several results on the Hardy-Littlewood maximal operator. Zbl 1273.42019
Lerner, Andrei K.
27
2008
Sharp \(A_{1}\) bounds for Calderón-Zygmund operators and the relationship with a problem of Muckenhoupt and Wheeden. Zbl 1237.42012
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
24
2008
Commutators of singular integrals on generalized \(L^p\) spaces with variable exponent. Zbl 1129.42359
Karlovich, Alexei Yu.; Lerner, Andrei K.
21
2005
On limiting embeddings of Besov spaces. Zbl 1090.46026
Kolyada, V. I.; Lerner, A. K.
19
2005
Commutators of singular integrals revisited. Zbl 1418.42021
Lerner, Andrei K.; Ombrosi, Sheldy; Rivera-Ríos, Israel P.
18
2019
On sharp aperture-weighted estimates for square functions. Zbl 1310.42010
Lerner, Andrei K.
18
2014
On some sharp weighted norm inequalities. Zbl 1140.42005
Lerner, Andrei K.
16
2006
On some questions related to the maximal operator on variable \(L^p\) spaces. Zbl 1208.42008
Lerner, Andrei K.
14
2010
Sharp weighted bounds for multilinear maximal functions and Calderón-Zygmund operators. Zbl 1321.42036
Damián, Wendolín; Lerner, Andrei K.; Pérez, Carlos
13
2015
Mixed \(A_p\)–\(A_{\infty}\) estimates with one supremum. Zbl 1317.42015
Lerner, Andrei K.; Moen, Kabe
13
2013
A new characterization of the Muckenhoupt \(A_p\) weights through an extension of the Lorentz-Shimogaki Theorem. Zbl 1214.42021
Lerner, Andrei K.; Pérez, Carlos
12
2007
On weighted norm inequalities for the Carleson and Walsh-Carleson operator. Zbl 1314.42019
Di Plinio, Francesco; Lerner, Andrei K.
12
2014
On modular inequalities in variable \(L^p\) spaces. Zbl 1105.42015
Lerner, Andrei K.
11
2005
Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden. Zbl 1175.42005
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
11
2009
On some weighted norm inequalities for Littlewood-Paley operators. Zbl 1177.42016
Lerner, Andrei K.
11
2008
Mixed \(A_p\)-\(A_r\) inequalities for classical singular integrals and Littlewood-Paley operators. Zbl 1278.42017
Lerner, Andrei K.
11
2013
Self-improving properties of generalized Poincaré type inequalities through rearrangements. Zbl 1101.42010
Lerner, Andrei K.; Pérez, Carlos
9
2005
On weighted estimates of non-increasing rearrangements. Zbl 0947.42012
Lerner, A. K.
8
1998
Some remarks on the Fefferman-Stein inequality. Zbl 1214.42031
Lerner, Andrei K.
8
2010
A boundedness criterion for general maximal operators. Zbl 1183.42024
Lerner, Andrei K.; Ombrosi, Sheldy
8
2010
On the John-Strömberg characterization of BMO for nondoubling measures. Zbl 1044.42018
Lerner, A. K.
7
2003
On a multidimensional form of F. Riesz’s “rising sun” lemma. Zbl 1070.42012
Korenovskyy, A. A.; Lerner, A. K.; Stokolos, A. M.
7
2005
A weak type estimate for rough singular integrals. Zbl 1429.42017
Lerner, Andrei K.
7
2019
A note on the Gurov-Reshetnyak condition. Zbl 1047.42015
Korenovskyy, A. A.; Lerner, A. K.; Stokolos, A. M.
6
2002
Weighted rearrangement inequalities for local sharp maximal functions. Zbl 1086.42011
Lerner, Andrei K.
5
2005
The John-Nirenberg inequality with sharp constants. Zbl 1275.42037
Lerner, Andrei K.
5
2013
On pointwise estimates for maximal and singular integral operators. Zbl 0947.42011
Lerner, A. K.
4
2000
A new approach to rearrangements of maximal operators. Zbl 1086.42012
Lerner, Andrei K.
4
2005
Interpolation properties of a scale of spaces. Zbl 1078.46016
Lerner, A. K.; Liflyand, E.
4
2003
An extrapolation theorem with applications to weighted estimates for singular integrals. Zbl 1255.42017
Lerner, Andrei K.; Ombrosi, Sheldy
4
2012
On a counterexample related to weighted weak type estimates for singular integrals. Zbl 1362.42023
Caldarelli, Marcela; Lerner, Andrei K.; Ombrosi, Sheldy
3
2017
Some remarks on the pointwise sparse domination. Zbl 1434.42020
Lerner, Andrei K.; Ombrosi, Sheldy
3
2020
On some pointwise inequalities. Zbl 1045.42009
Lerner, A. K.
3
2004
On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture. Zbl 1451.42029
Lerner, Andrei K.; Nazarov, Fedor; Ombrosi, Sheldy
3
2020
A note on weighted bounds for rough singular integrals. (Une note sur les bornes pondérées pour les intégrales singulières rugueuses.) Zbl 1395.42035
Lerner, Andrei K.
2
2018
On a dual property of the maximal operator on weighted variable \(L^p\) spaces. Zbl 1388.42045
Lerner, Andrei K.
2
2017
Maximal functions with respect to differential bases measuring mean oscillation. Zbl 0914.42016
Lerner, A. K.
2
1998
Quantitative weighted estimates for the Littlewood-Paley square function and Marcinkiewicz multipliers. Zbl 1428.42029
Lerner, Andrei K.
2
2019
BMO-boundedness of the maximal operator for arbitrary measures. Zbl 1122.42009
Lerner, Andrei K.
2
2007
A characterization of the weighted weak type Coifman-Fefferman and Fefferman-Stein inequalities. Zbl 1447.42017
Lerner, Andrei K.
2
2020
On pointwise estimates for the Littlewood-Paley operators. Zbl 1031.42019
Lerner, Andrei K.
1
2003
A note on the maximal Gurov-Reshetnyak condition. Zbl 1124.42014
Korenovskyy, A. A.; Lerner, A. K.; Stokolos, A. M.
1
2007
Some remarks on the pointwise sparse domination. Zbl 1434.42020
Lerner, Andrei K.; Ombrosi, Sheldy
3
2020
On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture. Zbl 1451.42029
Lerner, Andrei K.; Nazarov, Fedor; Ombrosi, Sheldy
3
2020
A characterization of the weighted weak type Coifman-Fefferman and Fefferman-Stein inequalities. Zbl 1447.42017
Lerner, Andrei K.
2
2020
Intuitive dyadic calculus: the basics. Zbl 1440.42062
Lerner, Andrei K.; Nazarov, Fedor
40
2019
Commutators of singular integrals revisited. Zbl 1418.42021
Lerner, Andrei K.; Ombrosi, Sheldy; Rivera-Ríos, Israel P.
18
2019
A weak type estimate for rough singular integrals. Zbl 1429.42017
Lerner, Andrei K.
7
2019
Quantitative weighted estimates for the Littlewood-Paley square function and Marcinkiewicz multipliers. Zbl 1428.42029
Lerner, Andrei K.
2
2019
A note on weighted bounds for rough singular integrals. (Une note sur les bornes pondérées pour les intégrales singulières rugueuses.) Zbl 1395.42035
Lerner, Andrei K.
2
2018
On pointwise and weighted estimates for commutators of Calderón-Zygmund operators. Zbl 1379.42007
Lerner, Andrei K.; Ombrosi, Sheldy; Rivera-Ríos, Israel P.
34
2017
On a counterexample related to weighted weak type estimates for singular integrals. Zbl 1362.42023
Caldarelli, Marcela; Lerner, Andrei K.; Ombrosi, Sheldy
3
2017
On a dual property of the maximal operator on weighted variable \(L^p\) spaces. Zbl 1388.42045
Lerner, Andrei K.
2
2017
On pointwise estimates involving sparse operators. Zbl 1347.42030
Lerner, Andrei K.
51
2016
Sharp weighted bounds for multilinear maximal functions and Calderón-Zygmund operators. Zbl 1321.42036
Damián, Wendolín; Lerner, Andrei K.; Pérez, Carlos
13
2015
On sharp aperture-weighted estimates for square functions. Zbl 1310.42010
Lerner, Andrei K.
18
2014
On weighted norm inequalities for the Carleson and Walsh-Carleson operator. Zbl 1314.42019
Di Plinio, Francesco; Lerner, Andrei K.
12
2014
A simple proof of the \(A_{2}\) conjecture. Zbl 1318.42018
Lerner, Andrei K.
80
2013
On an estimate of Calderón-Zygmund operators by dyadic positive operators. Zbl 1285.42015
Lerner, Andrei K.
54
2013
Mixed \(A_p\)–\(A_{\infty}\) estimates with one supremum. Zbl 1317.42015
Lerner, Andrei K.; Moen, Kabe
13
2013
Mixed \(A_p\)-\(A_r\) inequalities for classical singular integrals and Littlewood-Paley operators. Zbl 1278.42017
Lerner, Andrei K.
11
2013
The John-Nirenberg inequality with sharp constants. Zbl 1275.42037
Lerner, Andrei K.
5
2013
An extrapolation theorem with applications to weighted estimates for singular integrals. Zbl 1255.42017
Lerner, Andrei K.; Ombrosi, Sheldy
4
2012
Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals. Zbl 1226.42010
Lerner, Andrei K.
59
2011
A pointwise estimate for the local sharp maximal function with applications to singular integrals. Zbl 1203.42023
Lerner, Andrei K.
50
2010
On some questions related to the maximal operator on variable \(L^p\) spaces. Zbl 1208.42008
Lerner, Andrei K.
14
2010
Some remarks on the Fefferman-Stein inequality. Zbl 1214.42031
Lerner, Andrei K.
8
2010
A boundedness criterion for general maximal operators. Zbl 1183.42024
Lerner, Andrei K.; Ombrosi, Sheldy
8
2010
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory. Zbl 1160.42009
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos; Torres, Rodolfo H.; Trujillo-González, Rodrigo
177
2009
\(A_1\) bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden. Zbl 1169.42006
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
32
2009
Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden. Zbl 1175.42005
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
11
2009
An elementary approach to several results on the Hardy-Littlewood maximal operator. Zbl 1273.42019
Lerner, Andrei K.
27
2008
Sharp \(A_{1}\) bounds for Calderón-Zygmund operators and the relationship with a problem of Muckenhoupt and Wheeden. Zbl 1237.42012
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
24
2008
On some weighted norm inequalities for Littlewood-Paley operators. Zbl 1177.42016
Lerner, Andrei K.
11
2008
Multidimensional Hausdorff operators on the real Hardy space. Zbl 1143.47023
Lerner, A. K.; Liflyand, E.
51
2007
A new characterization of the Muckenhoupt \(A_p\) weights through an extension of the Lorentz-Shimogaki Theorem. Zbl 1214.42021
Lerner, Andrei K.; Pérez, Carlos
12
2007
BMO-boundedness of the maximal operator for arbitrary measures. Zbl 1122.42009
Lerner, Andrei K.
2
2007
A note on the maximal Gurov-Reshetnyak condition. Zbl 1124.42014
Korenovskyy, A. A.; Lerner, A. K.; Stokolos, A. M.
1
2007
On some sharp weighted norm inequalities. Zbl 1140.42005
Lerner, Andrei K.
16
2006
Some remarks on the Hardy-Littlewood maximal function on variable \(L^p\) spaces. Zbl 1092.42009
Lerner, Andrei K.
36
2005
Commutators of singular integrals on generalized \(L^p\) spaces with variable exponent. Zbl 1129.42359
Karlovich, Alexei Yu.; Lerner, Andrei K.
21
2005
On limiting embeddings of Besov spaces. Zbl 1090.46026
Kolyada, V. I.; Lerner, A. K.
19
2005
On modular inequalities in variable \(L^p\) spaces. Zbl 1105.42015
Lerner, Andrei K.
11
2005
Self-improving properties of generalized Poincaré type inequalities through rearrangements. Zbl 1101.42010
Lerner, Andrei K.; Pérez, Carlos
9
2005
On a multidimensional form of F. Riesz’s “rising sun” lemma. Zbl 1070.42012
Korenovskyy, A. A.; Lerner, A. K.; Stokolos, A. M.
7
2005
Weighted rearrangement inequalities for local sharp maximal functions. Zbl 1086.42011
Lerner, Andrei K.
5
2005
A new approach to rearrangements of maximal operators. Zbl 1086.42012
Lerner, Andrei K.
4
2005
Weighted norm inequalities for the local sharp maximal function. Zbl 1098.42013
Lerner, A. K.
28
2004
On some pointwise inequalities. Zbl 1045.42009
Lerner, A. K.
3
2004
On the John-Strömberg characterization of BMO for nondoubling measures. Zbl 1044.42018
Lerner, A. K.
7
2003
Interpolation properties of a scale of spaces. Zbl 1078.46016
Lerner, A. K.; Liflyand, E.
4
2003
On pointwise estimates for the Littlewood-Paley operators. Zbl 1031.42019
Lerner, Andrei K.
1
2003
A note on the Gurov-Reshetnyak condition. Zbl 1047.42015
Korenovskyy, A. A.; Lerner, A. K.; Stokolos, A. M.
6
2002
On pointwise estimates for maximal and singular integral operators. Zbl 0947.42011
Lerner, A. K.
4
2000
On weighted estimates of non-increasing rearrangements. Zbl 0947.42012
Lerner, A. K.
8
1998
Maximal functions with respect to differential bases measuring mean oscillation. Zbl 0914.42016
Lerner, A. K.
2
1998
all top 5

Cited by 531 Authors

30 Xue, Qingying
28 Lerner, Andrei K.
23 Li, Kangwei
21 Hu, Guoen
20 Cruz-Uribe, David Vincente
18 Moen, Kabe
16 Rivera-Ríos, Israel P.
16 Yang, Dachun
15 Chen, Jiecheng
14 Osękowski, Adam
13 Lacey, Michael T.
13 Ombrosi, Sheldy Javier
12 Martell, José María (Chema)
12 Sawano, Yoshihiro
12 Torres, Rodolfo H.
12 Wu, Huoxiong
11 Fan, Dashan
10 Yabuta, Kôzô
9 Hytönen, Tuomas P.
9 Kokilashvili, Vakhtang Mikhailovich
9 Meskhi, Alexander
9 Wick, Brett D.
8 Carro, María Jesús
8 Duong, Xuan Thinh
8 Si, Zengyan
8 Sun, Wenchang
7 Rela, Ezequiel
7 Volberg, Alexander Lvovich
7 Yang, Dongyong
7 Yu, Xiao
6 Dalmasso, Estefanía
6 Duong, Dao Van
6 Guo, Weichao
6 Ho, Kwok-Pun
6 Izuki, Mitsuo
6 Liflyand, Elijah
6 Lu, Shanzhen
6 Mastyło, Mieczysław
6 Nakai, Eiichi
6 Nguyen Minh Chuong
6 Pradolini, Gladis G.
6 Reguera, Maria Carmen
6 Shrivastava, Saurabh
6 Zhou, Jiang
5 Anderson, Theresa C.
5 Bu, Rui
5 Bui, The Anh
5 Chaffee, Lucas
5 Chen, Dongxiang
5 Conde-Alonso, Jose M.
5 Fiorenza, Alberto
5 Karlovich, Alexeĭ Yur’evich
5 Kinnunen, Juha
5 Li, Ji
5 Liang, YiYu
5 Liu, Liguang
5 Martikainen, Henri
5 Martín-Reyes, Francisco Javier
5 Pereyra, María Cristina
5 Rey, Guillermo
5 Reznikov, Aleksandr
5 Soria, Javier
5 Tao, Xiangxing
5 Wang, Hua
5 Wen, Yongming
5 Wu, Xiaomei
5 Zhang, Pu
5 Zhao, Fayou
4 Bañuelos, Rodrigo
4 Bényi, Árpád
4 Berkovits, Lauri
4 Bernicot, Frédéric
4 Cao, Mingming
4 Damián, Wendolín
4 di Plinio, Francesco
4 Fu, Zunwei
4 Gogatishvili, Amiran
4 Grafakos, Loukas
4 Hästö, Peter A.
4 Hu, Bingyang
4 Hussain, Amjad
4 Isralowitz, Joshua
4 Li, Wenjuan
4 Lin, Yan
4 Liu, Feng
4 Luque, Teresa
4 Mao, Suzhen
4 Nakamura, Shohei
4 Nazarov, Fedor L.
4 Ou, Yumeng
4 Pott, Sandra
4 Tanaka, Hitoshi
4 Tao, Shuangping
4 Tikhonov, Sergey Yur’evich
4 Treil, Sergei
4 Vuorinen, Emil
4 Yang, Sibei
3 Beltran, David
3 Bernardis, Ana L.
3 Boza, Santiago
...and 431 more Authors
all top 5

Cited in 140 Serials

50 Journal of Mathematical Analysis and Applications
32 The Journal of Geometric Analysis
26 Transactions of the American Mathematical Society
22 Proceedings of the American Mathematical Society
19 Journal of Functional Analysis
18 Advances in Mathematics
18 The Journal of Fourier Analysis and Applications
17 Journal of Inequalities and Applications
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Acta Mathematica Sinica. English Series
13 Potential Analysis
13 Journal of Function Spaces
11 Collectanea Mathematica
11 Mathematical Inequalities & Applications
11 Revista Matemática Complutense
10 Mathematische Annalen
10 Science China. Mathematics
9 Czechoslovak Mathematical Journal
9 Mathematische Nachrichten
8 Journal d’Analyse Mathématique
8 Applied Mathematics. Series B (English Edition)
7 Integral Equations and Operator Theory
7 Mathematische Zeitschrift
7 Frontiers of Mathematics in China
7 Banach Journal of Mathematical Analysis
6 Israel Journal of Mathematics
6 Mathematical Notes
6 Integral Transforms and Special Functions
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Journal of Pseudo-Differential Operators and Applications
5 Studia Mathematica
5 Archiv der Mathematik
5 Journal of the Mathematical Society of Japan
5 Revista Matemática Iberoamericana
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Function Spaces and Applications
5 Journal of Mathematical Inequalities
5 Concrete Operators
4 Analysis Mathematica
4 Annales de l’Institut Fourier
4 Illinois Journal of Mathematics
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Forum Mathematicum
4 St. Petersburg Mathematical Journal
4 Georgian Mathematical Journal
4 Bulletin des Sciences Mathématiques
4 Fractional Calculus & Applied Analysis
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Indiana University Mathematics Journal
3 Manuscripta Mathematica
3 Michigan Mathematical Journal
3 Nagoya Mathematical Journal
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Chinese Annals of Mathematics. Series B
3 Publicacions Matemàtiques
3 Abstract and Applied Analysis
3 Taiwanese Journal of Mathematics
3 Analysis & PDE
3 Journal of Nonlinear Science and Applications
3 Analysis and Mathematical Physics
3 Analysis and Geometry in Metric Spaces
2 Ukrainian Mathematical Journal
2 Annales Polonici Mathematici
2 Journal of Differential Equations
2 Journal of the Korean Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Real Analysis Exchange
2 Results in Mathematics
2 Bulletin of the Korean Mathematical Society
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Expositiones Mathematicae
2 The Journal of Analysis
2 Turkish Journal of Mathematics
2 Positivity
2 Annals of Mathematics. Second Series
2 Communications in Contemporary Mathematics
2 Journal of the Australian Mathematical Society
2 Analysis in Theory and Applications
2 Mediterranean Journal of Mathematics
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Commentationes Mathematicae
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Kyoto Journal of Mathematics
2 Open Mathematics
1 Arkiv för Matematik
1 Bulletin of the London Mathematical Society
1 Calcolo
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Dissertationes Mathematicae
1 Functional Analysis and its Applications
1 Fundamenta Mathematicae
1 Hokkaido Mathematical Journal
1 Journal of Approximation Theory
1 Journal of the London Mathematical Society. Second Series
1 Mathematica Scandinavica
...and 40 more Serials

Citations by Year