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Volberg, Alexander Lvovich

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Author ID: volberg.alexander-l Recent zbMATH articles by "Volberg, Alexander Lvovich"
Published as: Volberg, Alexander; Volberg, A.; Vol’berg, A. L.; Volberg, A. L.; Volberg, Alexander L.; Vol’berg, A.; Volberg, Alexandre
Homepage: https://math.msu.edu/directory/PersonalPage.aspx?id=111111477
External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND
Documents Indexed: 200 Publications since 1978, including 2 Books
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Co-Authors

29 single-authored
34 Nazarov, Fedor L.
30 Treil, Sergei
12 Yuditskii, Peter Meerovich
10 Ivanisvili, Paata
9 Dragičević, Oliver
7 Peherstorfer, Franz
7 Reznikov, Aleksandr
6 Janakiraman, Prabhu
6 Petermichl, Stefanie
6 Sodin, Mikhail
6 Solomyak, Boris
6 Tolsa, Xavier
6 Vasyunin, Vasiliĭ Ivanovich
5 Borichev, Aleksandr Aleksandrovich
5 Eiderman, Vladimir Ya.
5 Popovici, Irina
4 Balogh, Zoltán M.
4 Bond, Matthew
4 Boros, Nicholas
4 Mayboroda, Svitlana
4 Pott, Sandra
3 Azzam, Jonas
3 Esterle, Jean
3 Gillespie, Thomas Alastair
3 Konyagin, Sergeĭ Vladimirovich
3 Mourgoglou, Mihalis
3 Mozolyako, Pavel A.
3 Pattakos, Nikolaos
2 Finet, Catherine
2 Hofmann, Steve
2 Holmes, Irina
2 Hytönen, Tuomas P.
2 Lyubich, Mikhail Yur’evich
2 Martell, José María (Chema)
2 Nikol’skiĭ, Nikolaĭ Kapitonovich
2 Psaromiligkos, Georgios
2 Pushnitski, Alexander B.
2 Queffélec, Hervé
2 Saff, Edward Barry
2 Slavin, Leonid
2 Smith, Wayne Stewart
2 Wick, Brett D.
2 Zheng, Dechao
2 Zorin-Kranich, Pavel
1 Agranovich, Polina Zalmanovna
1 Arcozzi, Nicola
1 Balgoh, Zoltan
1 Barański, Krzysztof
1 Bateman, Michael D.
1 Bellissard, Jean V.
1 Białas, Leokadia
1 Brennan, James E.
1 Cruz-Uribe, David Vincente
1 Domelevo, Komla
1 Eremenko, Alexandre Émmanuilovich
1 Favorov, Sergei Yur’evich
1 Fel’dman, Gennadiĭ Mikhaĭlovich
1 Geronimo, Jeffrey S.
1 Grinberg, Victor S.
1 Grishin, Anatoly Filippovich
1 Hedenmalm, Håkan
1 Hukovic, S.
1 Jaye, B.
1 Jöricke, Burglind
1 Kargaev, Pavel Petrovich
1 Katsnel’son, Viktor Èmmanuilovich
1 Khrushchev, Sergei V.
1 Kiselev, Alexander A.
1 Kupin, Stas
1 Łaba, Izabella
1 Mats, A. D.
1 Melnikov, Mark S.
1 Novikov, Boris V.
1 Peller, Vladimir Vsevolodovich
1 Peres, Yuval
1 Pisier, Gilles
1 Poltoratski, Alexei G.
1 Shchedrin, Gavriil
1 Stolyarov, Dmitry M.
1 Székelyhidi, László jun.
1 Thiele, Christoph Martin
1 Tolokonnikov, Vadim
1 Urbański, Mariusz
1 van Handel, Ramon
1 Yakubovich, Dmitry V.
1 Younis, Rahman M.
1 Yuditskiĭ, A. B.
1 Zdunik, Anna
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Serials

13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 St. Petersburg Mathematical Journal
10 IMRN. International Mathematics Research Notices
7 Advances in Mathematics
7 Indiana University Mathematics Journal
7 Journal of Functional Analysis
5 Functional Analysis and its Applications
5 Soviet Mathematics. Doklady
5 Journal of Operator Theory
5 Revista Matemática Iberoamericana
5 Mathematical Research Letters
4 Journal d’Analyse Mathématique
4 American Journal of Mathematics
4 Publicacions Matemàtiques
4 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
3 Duke Mathematical Journal
3 Journal of the London Mathematical Society. Second Series
3 Journal of Soviet Mathematics
3 Proceedings of the American Mathematical Society
2 Communications in Mathematical Physics
2 Russian Mathematical Surveys
2 Arkiv för Matematik
2 Acta Mathematica
2 Funktsional’nyĭ Analiz i ego Prilozheniya
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Annalen
2 Michigan Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Complex Variables. Theory and Application
2 Journal of the American Mathematical Society
2 Leningrad Mathematical Journal
2 Geometric and Functional Analysis. GAFA
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Analysis & PDE
2 Discrete Analysis
1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
1 Israel Journal of Mathematics
1 Studia Mathematica
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Fundamenta Mathematicae
1 Illinois Journal of Mathematics
1 Matematički Vesnik
1 Mathematica Scandinavica
1 Mathematics of the USSR. Izvestiya
1 Pacific Journal of Mathematics
1 Ergodic Theory and Dynamical Systems
1 Journal of Complexity
1 Constructive Approximation
1 Algebra i Analiz
1 The Journal of Geometric Analysis
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Mathematics of the USSR, Sbornik
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Séminaire Équations aux Dérivées Partielles
1 The Journal of Fourier Analysis and Applications
1 Annals of Mathematics. Second Series
1 Visnyk Kharkivs’kogo Universytetu. Seriya Matematyka, Prykladna Matematyka i Mekhanika
1 Cambridge Studies in Advanced Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Analysis and Mathematical Physics
1 CBMS Regional Conference Series in Mathematics

Publications by Year

Citations contained in zbMATH Open

152 Publications have been cited 2,102 times in 1,189 Documents Cited by Year
Global well-posedness for the critical 2D dissipative quasi-geostrophic equation. Zbl 1121.35115
Kiselev, A.; Nazarov, F.; Volberg, A.
228
2007
The \(Tb\)-theorem on non-homogeneous spaces. Zbl 1065.42014
Nazarov, F.; Treil, S.; Volberg, A.
134
2003
The Bellman functions and two-weight inequalities for Haar multipliers. Zbl 0951.42007
Nazarov, F.; Treil, S.; Volberg, A.
119
1999
Weak type estimates and Cotlar inequalities for Calderón-Zygmund operators on nonhomogeneous spaces. Zbl 0918.42009
Nazarov, F.; Treil, S.; Volberg, A.
101
1998
Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular. Zbl 1025.30018
Petermichl, Stefanie; Volberg, Alexander
78
2002
Cauchy integral and Calderón-Zygmund operators on nonhomogeneous spaces. Zbl 0889.42013
Nazarov, F.; Treil, S.; Volberg, A.
63
1997
Wavelets and the angle between past and future. Zbl 0876.42027
Treil, S.; Volberg, A.
48
1997
Accretive system \(Tb\)-theorems on nonhomogeneous spaces. Zbl 1055.47027
Nazarov, F.; Treil, S.; Volberg, A.
45
2002
Calderón-Zygmund capacities and operators on nonhomogeneous spaces. Zbl 1053.42022
Volberg, Alexander
43
2003
Monge-Ampère equation and Bellman optimization of Carleson embedding theorems. Zbl 1178.28017
Vasyunin, Vasily; Volberg, Alexander
43
2009
On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1. Zbl 1311.28004
Nazarov, Fedor; Tolsa, Xavier; Volberg, Alexander
41
2014
Bellman function in stochastic control and harmonic analysis. Zbl 0999.60064
Nazarov, F.; Treil, S.; Volberg, A.
38
2001
Sharp weighted estimates for dyadic shifts and the \(A_2\) conjecture. Zbl 1311.42037
Hytönen, Tuomas; Pérez, Carlos; Treil, Sergei; Volberg, Alexander
38
2014
Heating of the Ahlfors-Beurling operator, and estimates of its norm. Zbl 1061.47042
Volberg, A.; Nazarov, F.
34
2004
Two weight inequalities for individual Haar multipliers and other well localized operators. Zbl 1257.42025
Nazarov, F.; Treil, S.; Volberg, A.
28
2008
On measures with the doubling condition. Zbl 0727.28012
Vol’berg, A. L.; Konyagin, S. V.
27
1988
Rectifiability of harmonic measure. Zbl 1354.31004
Azzam, Jonas; Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Mourgoglou, Mihalis; Tolsa, Xavier; Volberg, Alexander
26
2016
Matrix \(A_{p}\) weights via \(S\)-functions. Zbl 0877.42003
Volberg, A.
25
1997
Two remarks concerning the theorem of S. Axler, S.-Y. A. Chang and D. Sarason. Zbl 0489.47015
Volberg, A. L.
24
1982
Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. Zbl 0983.42006
Nazarov, F.; Pisier, G.; Treil, S.; Volberg, A.
22
2002
The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces \(K_\theta\). Zbl 1035.42010
Nazarov, F.; Volberg, A.
22
2002
Bellman function, Littlewood–Paley estimates and asymptotics for the Ahlfors–Beurling operator in \(L^p(\mathbb{C})\). Zbl 1103.47036
Dragičević, Oliver; Volberg, Alexander
21
2005
The Bellman functions for a certain two-weight inequality: a case study. Zbl 1125.47025
Vasyunin, V.; Vol’berg, A.
21
2007
The Bellman functions and sharp weighted inequalities for square functions. Zbl 0972.42011
Hukovic, S.; Treil, S.; Volberg, A.
21
2000
Logarithmic bump conditions and the two-weight boundedness of Calderón-Zygmund operators. Zbl 1290.42033
Cruz-Uribe, David; Reznikov, Alexander; Volberg, Alexander
21
2014
Bellman functions and dimensionless estimates of Littlewood-Paley type. Zbl 1114.42006
Dragičević, Oliver; Volberg, Alexander
20
2006
A fixed point approach to Nehari’s problem and its applications. Zbl 0818.47026
Treil, Sergei; Volberg, Alexander
19
1994
On generalized sum rules for Jacobi matrices. Zbl 1089.47025
Nazarov, F.; Peherstorfer, F.; Volberg, A.; Yuditskii, A.
19
2005
Sharp constants in the classical weak form of the John-Nirenberg inequality. Zbl 1300.28005
Vasyunin, Vasily; Volberg, Alexander
19
2014
The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions. Zbl 1312.44005
Nazarov, Fedor; Tolsa, Xavier; Volberg, Alexander
18
2014
A Bellman function proof of the \(L^2\) bump conjecture. Zbl 1284.42037
Nazarov, Fedor; Reznikov, Alexander; Treil, Sergei; Volberg, Alexander
18
2013
On measures with duplication condition. Zbl 0649.42010
Vol’berg, A. L.; Konyagin, S. V.
18
1987
Counterexample to the infinite dimensional Carleson embedding theorem. Zbl 0892.42013
Nazarov, Fedor; Treil, Serguei; Volberg, Alexander
17
1997
Sharp estimate of the Ahlfors-Beurling operator via averaging martingale transforms. Zbl 1056.42011
Dragičević, Oliver; Volberg, Alexander
17
2003
Bergman-type singular integral operators and the characterization of Carleson measures for Besov-Sobolev spaces on the complex ball. Zbl 1252.42020
Volberg, Alexander; Wick, Brett D.
17
2012
Subordination by conformal martingales in \(L^{p}\) and zeros of Laguerre polynomials. Zbl 1266.32006
Borichev, Alexander; Janakiraman, Prabhu; Volberg, Alexander
16
2013
Hilbert transform, Toeplitz operators and Hankel operators, and invariant \(A_\infty\) weights. Zbl 0896.42009
Treil, Sergei; Volberg, Alexander; Zheng, Dechao
15
1997
On the inverse scattering problem for Jacobi matrices with the spectrum on an interval, a finite system of intervals or a Cantor set of positive length. Zbl 1019.34082
Volberg, A.; Yuditskii, P.
15
2002
On the dimension of harmonic measure of Cantor repellers. Zbl 0797.30022
Volberg, Alexander
15
1993
Kotani-Last problem and Hardy spaces on surfaces of Widom type. Zbl 1319.47030
Volberg, A.; Yuditskii, P.
15
2014
Convex body domination and weighted estimates with matrix weights. Zbl 1382.42010
Nazarov, Fedor; Petermichl, Stefanie; Treil, Sergei; Volberg, Alexander
15
2017
Bellman function and the \(H^1\)-BMO duality. Zbl 1134.42013
Slavin, Leonid; Volberg, Alexander
14
2007
The \(s\)-function and the exponential integral. Zbl 1131.26018
Slavin, Leonid; Volberg, Alexander
14
2007
The geometric Kannan-Lovász-Simonovits lemma, dimension-free estimates for the distribution of the values of polynomials, and the distribution of the zeros of random analytic functions. Zbl 1030.60040
Nazarov, F.; Sodin, M.; Vol’berg, A.
13
2003
Weighted martingale multipliers in the non-homogeneous setting and outer measure spaces. Zbl 1332.42005
Thiele, Christoph; Treil, Sergei; Volberg, Alexander
13
2015
The proof of \(A_2\) conjecture in a geometrically doubling metric space. Zbl 1293.42017
Nazarov, Fedor; Reznikov, Alexander; Volberg, Alexander
13
2013
Entropy conditions in two weight inequalities for singular integral operators. Zbl 1377.42024
Treil, Sergei; Volberg, Alexander
13
2016
CMV matrices with asymptotically constant coefficients. Szegő–Blaschke class, scattering theory. Zbl 1167.47029
Peherstorfer, F.; Volberg, A.; Yuditskii, P.
12
2009
Vector-valued Riesz potentials: Cartan-type estimates and related capacities. Zbl 1209.42008
Eiderman, V.; Nazarov, F.; Volberg, A.
12
2010
Why the Riesz transforms are averages of the dyadic shifts? Zbl 1031.47021
Petermichl, S.; Treil, S.; Volberg, A.
11
2002
A rotation method which gives linear \(L^{p}\) estimates for powers of the Ahlfors–Beurling operator. Zbl 1140.42303
Dragičević, Oliver; Petermichl, Stefanie; Volberg, Alexander
11
2006
Transportation to random zeroes by the gradient flow. Zbl 1153.60027
Nazarov, Fedor; Sodin, Mikhail; Volberg, Alexander
11
2007
Bellman approach to some problems in harmonic analysis. Zbl 1292.93155
Volberg, Alexander
11
2002
The \(s\)-Riesz transform of an \(s\)-dimensional measure in \(\mathbb R^2\) is unbounded for \(1<s<2\). Zbl 1305.28002
Eiderman, Vladimir; Nazarov, Fedor; Volberg, Alexander
11
2014
Continuous frame decomposition and a vector Hunt-Muckenhoupt-Wheeden theorem. Zbl 0961.44006
Treil, Sergei; Volberg, Alexander
10
1997
Markov’s property of the Cantor ternary set. Zbl 0814.41014
Białas, Leokadia; Volberg, Alexander
10
1993
Bilinear embedding for real elliptic differential operators in divergence form with potentials. Zbl 1232.42022
Dragičević, Oliver; Volberg, Alexander
10
2011
On Burkholder function for orthogonal martingales and zeros of Legendre polynomials. Zbl 1266.60079
Borichev, Alexander; Janakiraman, Prabhu; Volberg, Alexander
10
2013
Hessian of Bellman functions and uniqueness of the Brascamp-Lieb inequality. Zbl 1395.42061
Ivanisvili, P.; Volberg, A.
10
2015
Linear dimension-free estimates in the embedding theorem for Schrödinger operators. Zbl 1239.35042
Dragičević, Oliver; Volberg, Alexander
9
2012
Burkholder’s function via Monge-Ampère equation. Zbl 1259.42016
Vasyunin, Vasily; Volberg, Alexander
9
2010
Compactness of composition operators on a Hilbert space of Dirichlet series. Zbl 1070.47013
Finet, Catherine; Queffélec, Hervé; Volberg, Alexander
8
2005
Large Bergman spaces: Invertibility, cyclicity, and subspaces of arbitrary index. Zbl 1065.46021
Borichev, Alexander; Hedenmalm, Håkan; Volberg, Alexander
8
2004
Imbedding theorems for the invariant subspaces of the backward shift operator. Zbl 0654.30027
Vol’berg, A. L.; Treil’, S. R.
8
1988
Analytic left-invariant subspaces of weighted Hilbert spaces of sequences. Zbl 1002.47001
Esterle, J.; Volberg, A.
7
2001
Logarithmic growth for weighted Hilbert transforms and vector Hankel operators. Zbl 1074.42005
Gillespie, T. A.; Pott, S.; Treil, S.; Volberg, A.
7
2004
The Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroes. Zbl 1221.30008
Nazarov, F.; Sodin, M.; Volberg, A.
7
2008
Laminates meet Burkholder functions. Zbl 1320.42010
Boros, Nicholas; Székelyhidi, László jun.; Volberg, Alexander
7
2013
Uniform approximation of Bloch functions and the boundedness of the integration operator on \(H^\infty\). Zbl 1372.30027
Smith, Wayne; Stolyarov, Dmitriy M.; Volberg, Alexander
7
2017
Imbedding theorems for invariant subspaces of backward shift operator. Zbl 0612.30032
Vol’berg, A. L.; Treil’, S. R.
7
1986
A simple sharp weighted estimate of the dyadic shifts on metric spaces with geometric doubling. Zbl 1323.42016
Nazarov, Fedor; Volberg, Alexander
7
2013
Geometric localization, uniformly John property and separated semihyperbolic dynamics. Zbl 0855.30022
Balogh, Zoltan; Volberg, Alexander
6
1996
Brennan’s conjecture and the Mandelbrot set. Zbl 0913.30013
Barański, Krzysztof; Volberg, Alexander; Zdunik, Anna
6
1998
Translation invariant subspaces of some quasi-analytic weighted Hilbert spaces of sequences. (Sous-espaces invariants par translations bilatérales de certains espaces de Hilbert de suites quasi-analytiquement pondérées.) Zbl 0919.47009
Esterle, Jean; Volberg, Alexandre
6
1998
Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences. Zbl 1059.47034
Esterle, Jean; Volberg, Alexander
6
2002
Logarithmic growth for matrix martingale transforms. Zbl 1025.47017
Gillespie, T. A.; Pott, S.; Treil, S.; Volberg, A.
6
2001
The power law for the Buffon needle probability of the four-corner Cantor set. Zbl 1213.28006
Nazarov, F.; Peres, Y.; Volberg, A.
6
2011
Uniqueness theorems for Cauchy integrals. Zbl 1172.30013
Melnikov, Mark; Poltoratski, Alexei; Volberg, Alexander
6
2008
Weighted embeddings and weighted norm inequalities for the Hilbert transform and the maximal operator. Zbl 0852.42006
Treil, S. R.; Volberg, A. L.
6
1995
Boundedness of the square function and rectifiability. Zbl 1185.28009
Mayboroda, Svitlana; Volberg, Alexander
5
2009
An estimate from below for the Buffon needle probability of the four-corner Cantor set. Zbl 1223.28008
Bateman, Michael; Volberg, Alexander
5
2010
\(L^2\)-norm and estimates from below for Riesz transforms on Cantor sets. Zbl 1259.42010
Eiderman, Vladimir; Volberg, Alexander
5
2011
Thin and thick families of rational fractions. Zbl 0519.46029
Volberg, A. L.
5
1981
The sharp square function estimate with matrix weight. Zbl 1431.42019
Hytönen, Tuomas; Petermichl, Stefanie; Volberg, Alexander
5
2019
On the failure of lower square function estimates in the non-homogeneous weighted setting. Zbl 1428.42028
Domelevo, K.; Ivanisvili, P.; Petermichl, S.; Treil, S.; Volberg, A.
5
2019
The fractional Riesz transform and an exponential potential. Zbl 1281.42011
Jaye, B.; Nazarov, F.; Volberg, A.
4
2013
Boundary Harnack principle for separated semihyperbolic repellers, harmonic measure applications. Zbl 0857.31006
Balogh, Z.; Volberg, A.
4
1996
Completely regular multivariate stationary processes and the Muckenhoupt condition. Zbl 1006.60027
Treil, S.; Volberg, A.
4
1999
Lower bounds for quasianalytic functions. I: How to control smooth functions. Zbl 1064.30032
Nazarov, F.; Sodin, M.; Volberg, A.
4
2004
Finite square function implies integer dimension. Zbl 1184.42013
Mayboroda, Svitlana; Volberg, Alexander
4
2009
Asymptotics of the best polynomial approximation of \(|x|^{p}\) and of the best Laurent polynomial approximation of \(\text{sgn}(x)\) on two symmetric intervals. Zbl 1176.41032
Nazarov, F.; Peherstorfer, F.; Volberg, A.; Yuditskii, P.
4
2009
There is a homogeneous measure on any compact subset in \(R^ n\). Zbl 0598.28010
Vol’berg, A. L.; Konyagin, S. V.
4
1984
Bellman function for the estimates of Littlewood–Paley type and asymptotic estimates in the \(p-1\) problem. Zbl 1079.47051
Dragičević, Oliver; Volberg, Alexander
3
2005
Conformally maximal polynomial-like dynamics and invariant harmonic measure. Zbl 0876.58036
Balgoh, Zoltan; Popovici, Irina; Volberg, Alexander
3
1997
Asymptotics of orthogonal polynomials via the Koosis theorem. Zbl 1110.41015
Nazarov, F.; Volberg, A.; Yuditskii, P.
3
2006
Limit periodic Jacobi matrices with a prescribed \(p\)-adic hull and a singular continuous spectrum. Zbl 1125.47022
Peherstorfer, F.; Volberg, A.; Yuditskii, P.
3
2006
Two-weight Hilbert transform and Lipschitz property of Jacobi matrices associated to hyperbolic polynomials. Zbl 1125.47023
Peherstorfer, F.; Volberg, A.; Yuditskii, P.
3
2007
Carleson measure and balayage. Zbl 1213.42074
Pott, Sandra; Volberg, Alexander
3
2010
Perturbation of Burkholder’s martingale transform and Monge-Ampère equation. Zbl 1263.60037
Boros, Nicholas; Janakiraman, Prabhu; Volberg, Alexander
3
2012
Continuity of weighted estimates in \(A_p\) norm. Zbl 1282.47049
Pattakos, Nikolaos; Volberg, Alexander
3
2012
Bi-parameter embedding and measures with restricted energy conditions. Zbl 1439.42014
Arcozzi, Nicola; Holmes, Irina; Mozolyako, Pavel; Volberg, Alexander
1
2020
Rademacher type and Enflo type coincide. Zbl 1458.46012
Ivanisvili, Paata; van Handel, Ramon; Volberg, Alexander
1
2020
The sharp square function estimate with matrix weight. Zbl 1431.42019
Hytönen, Tuomas; Petermichl, Stefanie; Volberg, Alexander
5
2019
On the failure of lower square function estimates in the non-homogeneous weighted setting. Zbl 1428.42028
Domelevo, K.; Ivanisvili, P.; Petermichl, S.; Treil, S.; Volberg, A.
5
2019
On a two-phase problem for harmonic measure in general domains. Zbl 1428.31007
Azzam, Jonas; Mourgoglou, Mihalis; Tolsa, Xavier; Volberg, Alexander
3
2019
From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity. Zbl 1415.42007
Ivanisvili, P.; Volberg, A.
1
2019
Sparse domination on non-homogeneous spaces with an application to \(A_p\) weights. Zbl 1409.42013
Volberg, Alexander; Zorin-Kranich, Pavel
3
2018
On weak weighted estimates of the martingale transform and a dyadic shift. Zbl 1425.42005
Nazarov, Fedor; Reznikov, Alexander; Vasyunin, Vasily; Volberg, Alexander
3
2018
Square functions and the Hamming cube: duality. Zbl 1404.42027
Ivanisvili, Paata; Nazarov, Fedor; Volberg, Alexander
1
2018
On Tsirelson’s theorem about triple points for harmonic measure. Zbl 1435.31006
Tolsa, Xavier; Volberg, Alexander
1
2018
Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach. Zbl 1405.42023
Ivanisvili, Paata; Volberg, Alexander
1
2018
Convex body domination and weighted estimates with matrix weights. Zbl 1382.42010
Nazarov, Fedor; Petermichl, Stefanie; Treil, Sergei; Volberg, Alexander
15
2017
Uniform approximation of Bloch functions and the boundedness of the integration operator on \(H^\infty\). Zbl 1372.30027
Smith, Wayne; Stolyarov, Dmitriy M.; Volberg, Alexander
7
2017
Improving Beckner’s bound via Hermite functions. Zbl 1364.42029
Ivanisvili, Paata; Volberg, Alexander
3
2017
Hamming cube and martingales. (Cube de Hamming et martingales.) Zbl 1379.42009
Ivanisvili, Paata; Nazarov, Fedor; Volberg, Alexander
2
2017
A bump theorem for weighted embeddings and maximal operator: the Bellman function approach. Zbl 1387.42021
Volberg, Alexander
2
2017
Rectifiability of harmonic measure. Zbl 1354.31004
Azzam, Jonas; Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Mourgoglou, Mihalis; Tolsa, Xavier; Volberg, Alexander
26
2016
Entropy conditions in two weight inequalities for singular integral operators. Zbl 1377.42024
Treil, Sergei; Volberg, Alexander
13
2016
Mean type of functions of bounded characteristic and Martin functions in Denjoy domains. Zbl 1337.30040
Volberg, Alexander; Yuditskii, Peter
3
2016
Weighted martingale multipliers in the non-homogeneous setting and outer measure spaces. Zbl 1332.42005
Thiele, Christoph; Treil, Sergei; Volberg, Alexander
13
2015
Hessian of Bellman functions and uniqueness of the Brascamp-Lieb inequality. Zbl 1395.42061
Ivanisvili, P.; Volberg, A.
10
2015
On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1. Zbl 1311.28004
Nazarov, Fedor; Tolsa, Xavier; Volberg, Alexander
41
2014
Sharp weighted estimates for dyadic shifts and the \(A_2\) conjecture. Zbl 1311.42037
Hytönen, Tuomas; Pérez, Carlos; Treil, Sergei; Volberg, Alexander
38
2014
Logarithmic bump conditions and the two-weight boundedness of Calderón-Zygmund operators. Zbl 1290.42033
Cruz-Uribe, David; Reznikov, Alexander; Volberg, Alexander
21
2014
Sharp constants in the classical weak form of the John-Nirenberg inequality. Zbl 1300.28005
Vasyunin, Vasily; Volberg, Alexander
19
2014
The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions. Zbl 1312.44005
Nazarov, Fedor; Tolsa, Xavier; Volberg, Alexander
18
2014
Kotani-Last problem and Hardy spaces on surfaces of Widom type. Zbl 1319.47030
Volberg, A.; Yuditskii, P.
15
2014
The \(s\)-Riesz transform of an \(s\)-dimensional measure in \(\mathbb R^2\) is unbounded for \(1<s<2\). Zbl 1305.28002
Eiderman, Vladimir; Nazarov, Fedor; Volberg, Alexander
11
2014
Buffon’s needle estimates for rational product Cantor sets. Zbl 1318.28016
Bond, Matthew; Łaba, Izabella; Volberg, Alexander
3
2014
A Bellman function proof of the \(L^2\) bump conjecture. Zbl 1284.42037
Nazarov, Fedor; Reznikov, Alexander; Treil, Sergei; Volberg, Alexander
18
2013
Subordination by conformal martingales in \(L^{p}\) and zeros of Laguerre polynomials. Zbl 1266.32006
Borichev, Alexander; Janakiraman, Prabhu; Volberg, Alexander
16
2013
The proof of \(A_2\) conjecture in a geometrically doubling metric space. Zbl 1293.42017
Nazarov, Fedor; Reznikov, Alexander; Volberg, Alexander
13
2013
On Burkholder function for orthogonal martingales and zeros of Legendre polynomials. Zbl 1266.60079
Borichev, Alexander; Janakiraman, Prabhu; Volberg, Alexander
10
2013
Laminates meet Burkholder functions. Zbl 1320.42010
Boros, Nicholas; Székelyhidi, László jun.; Volberg, Alexander
7
2013
A simple sharp weighted estimate of the dyadic shifts on metric spaces with geometric doubling. Zbl 1323.42016
Nazarov, Fedor; Volberg, Alexander
7
2013
The fractional Riesz transform and an exponential potential. Zbl 1281.42011
Jaye, B.; Nazarov, F.; Volberg, A.
4
2013
Non-homogeneous harmonic analysis: 16 years of development. Zbl 1293.30057
Volberg, A. L.; Èiderman, V. Ya
3
2013
Bergman-type singular integral operators and the characterization of Carleson measures for Besov-Sobolev spaces on the complex ball. Zbl 1252.42020
Volberg, Alexander; Wick, Brett D.
17
2012
Linear dimension-free estimates in the embedding theorem for Schrödinger operators. Zbl 1239.35042
Dragičević, Oliver; Volberg, Alexander
9
2012
Perturbation of Burkholder’s martingale transform and Monge-Ampère equation. Zbl 1263.60037
Boros, Nicholas; Janakiraman, Prabhu; Volberg, Alexander
3
2012
Continuity of weighted estimates in \(A_p\) norm. Zbl 1282.47049
Pattakos, Nikolaos; Volberg, Alexander
3
2012
Sharp \(L^p\)-bounds for a small perturbation of Burkholder’s martingale transform. Zbl 1278.60079
Volberg, Alexander; Boros, Nicholas; Janakiraman, Prabhu
2
2012
Buffon’s needle landing near Besicovitch irregular self-similar sets. Zbl 1295.28010
Bond, Matthew; Volberg, Alexander
2
2012
The Muckenhoupt \(A_{\infty}\) class as a metric space and continuity of weighted estimates. Zbl 1272.30056
Pattakos, Nikolaos; Volberg, Alexander
1
2012
Bilinear embedding for real elliptic differential operators in divergence form with potentials. Zbl 1232.42022
Dragičević, Oliver; Volberg, Alexander
10
2011
The power law for the Buffon needle probability of the four-corner Cantor set. Zbl 1213.28006
Nazarov, F.; Peres, Y.; Volberg, A.
6
2011
\(L^2\)-norm and estimates from below for Riesz transforms on Cantor sets. Zbl 1259.42010
Eiderman, Vladimir; Volberg, Alexander
5
2011
A conformal mapping example. Zbl 1236.30007
Smith, Wayne; Volberg, Alexander
1
2011
Vector-valued Riesz potentials: Cartan-type estimates and related capacities. Zbl 1209.42008
Eiderman, V.; Nazarov, F.; Volberg, A.
12
2010
Burkholder’s function via Monge-Ampère equation. Zbl 1259.42016
Vasyunin, Vasily; Volberg, Alexander
9
2010
An estimate from below for the Buffon needle probability of the four-corner Cantor set. Zbl 1223.28008
Bateman, Michael; Volberg, Alexander
5
2010
Carleson measure and balayage. Zbl 1213.42074
Pott, Sandra; Volberg, Alexander
3
2010
Buffon needle lands in \(\varepsilon\)-neighborhood of a 1-dimensional Sierpiński Gasket with probability at most \(|\log \varepsilon|^{-c}\). Zbl 1194.28007
Bond, Matthew; Volberg, Alexander
2
2010
Monge-Ampère equation and Bellman optimization of Carleson embedding theorems. Zbl 1178.28017
Vasyunin, Vasily; Volberg, Alexander
43
2009
CMV matrices with asymptotically constant coefficients. Szegő–Blaschke class, scattering theory. Zbl 1167.47029
Peherstorfer, F.; Volberg, A.; Yuditskii, P.
12
2009
Boundedness of the square function and rectifiability. Zbl 1185.28009
Mayboroda, Svitlana; Volberg, Alexander
5
2009
Finite square function implies integer dimension. Zbl 1184.42013
Mayboroda, Svitlana; Volberg, Alexander
4
2009
Asymptotics of the best polynomial approximation of \(|x|^{p}\) and of the best Laurent polynomial approximation of \(\text{sgn}(x)\) on two symmetric intervals. Zbl 1176.41032
Nazarov, F.; Peherstorfer, F.; Volberg, A.; Yuditskii, P.
4
2009
Inverse scattering problem for a special class of canonical systems and non-linear Fourier integral. I: Asymptotics of eigenfunctions. Zbl 1169.34057
Kupin, S.; Peherstorfer, F.; Volberg, A.; Yuditskii, P.
2
2009
Remarks on Nehari’s problem, matrix \(A_2\) condition, and weighted bounded mean oscillation. Zbl 1198.47033
Volberg, A.; Yuditskii, P.
2
2009
Two weight inequalities for individual Haar multipliers and other well localized operators. Zbl 1257.42025
Nazarov, F.; Treil, S.; Volberg, A.
28
2008
The Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroes. Zbl 1221.30008
Nazarov, F.; Sodin, M.; Volberg, A.
7
2008
Uniqueness theorems for Cauchy integrals. Zbl 1172.30013
Melnikov, Mark; Poltoratski, Alexei; Volberg, Alexander
6
2008
A theorem about three quadratic forms. Zbl 1245.42012
Dragicevic, Oliver; Treil, Sergei; Volberg, Alexander
3
2008
On analytic capacity of portions of continuum and a question of T. Murai. Zbl 1175.47030
Nazarov, Fedor; Volberg, Alexander
2
2008
Global well-posedness for the critical 2D dissipative quasi-geostrophic equation. Zbl 1121.35115
Kiselev, A.; Nazarov, F.; Volberg, A.
228
2007
The Bellman functions for a certain two-weight inequality: a case study. Zbl 1125.47025
Vasyunin, V.; Vol&rsquo;berg, A.
21
2007
Bellman function and the \(H^1\)-BMO duality. Zbl 1134.42013
Slavin, Leonid; Volberg, Alexander
14
2007
The \(s\)-function and the exponential integral. Zbl 1131.26018
Slavin, Leonid; Volberg, Alexander
14
2007
Transportation to random zeroes by the gradient flow. Zbl 1153.60027
Nazarov, Fedor; Sodin, Mikhail; Volberg, Alexander
11
2007
Two-weight Hilbert transform and Lipschitz property of Jacobi matrices associated to hyperbolic polynomials. Zbl 1125.47023
Peherstorfer, F.; Volberg, A.; Yuditskii, P.
3
2007
Bellman functions and dimensionless estimates of Littlewood-Paley type. Zbl 1114.42006
Dragičević, Oliver; Volberg, Alexander
20
2006
A rotation method which gives linear \(L^{p}\) estimates for powers of the Ahlfors–Beurling operator. Zbl 1140.42303
Dragičević, Oliver; Petermichl, Stefanie; Volberg, Alexander
11
2006
Asymptotics of orthogonal polynomials via the Koosis theorem. Zbl 1110.41015
Nazarov, F.; Volberg, A.; Yuditskii, P.
3
2006
Limit periodic Jacobi matrices with a prescribed \(p\)-adic hull and a singular continuous spectrum. Zbl 1125.47022
Peherstorfer, F.; Volberg, A.; Yuditskii, P.
3
2006
Asymptotics of orthogonal polynomials beyond the scope of Szegő’s theorem. Zbl 1116.33010
Peherstorfer, F.; Volberg, A.; Yuditskii, P.
1
2006
Bellman function, Littlewood–Paley estimates and asymptotics for the Ahlfors–Beurling operator in \(L^p(\mathbb{C})\). Zbl 1103.47036
Dragičević, Oliver; Volberg, Alexander
21
2005
On generalized sum rules for Jacobi matrices. Zbl 1089.47025
Nazarov, F.; Peherstorfer, F.; Volberg, A.; Yuditskii, A.
19
2005
Compactness of composition operators on a Hilbert space of Dirichlet series. Zbl 1070.47013
Finet, Catherine; Queffélec, Hervé; Volberg, Alexander
8
2005
Bellman function for the estimates of Littlewood–Paley type and asymptotic estimates in the \(p-1\) problem. Zbl 1079.47051
Dragičević, Oliver; Volberg, Alexander
3
2005
Are they limit periodic? Zbl 1136.47017
Bellissard, J.; Geronimo, J.; Volberg, A.; Yuditskii, P.
2
2005
Heating of the Ahlfors-Beurling operator, and estimates of its norm. Zbl 1061.47042
Volberg, A.; Nazarov, F.
34
2004
Large Bergman spaces: Invertibility, cyclicity, and subspaces of arbitrary index. Zbl 1065.46021
Borichev, Alexander; Hedenmalm, Håkan; Volberg, Alexander
8
2004
Logarithmic growth for weighted Hilbert transforms and vector Hankel operators. Zbl 1074.42005
Gillespie, T. A.; Pott, S.; Treil, S.; Volberg, A.
7
2004
Lower bounds for quasianalytic functions. I: How to control smooth functions. Zbl 1064.30032
Nazarov, F.; Sodin, M.; Volberg, A.
4
2004
Factorization of polynomials with estimates of norms. Zbl 1068.30028
Volberg, Alexander
1
2004
The \(Tb\)-theorem on non-homogeneous spaces. Zbl 1065.42014
Nazarov, F.; Treil, S.; Volberg, A.
134
2003
Calderón-Zygmund capacities and operators on nonhomogeneous spaces. Zbl 1053.42022
Volberg, Alexander
43
2003
Sharp estimate of the Ahlfors-Beurling operator via averaging martingale transforms. Zbl 1056.42011
Dragičević, Oliver; Volberg, Alexander
17
2003
The geometric Kannan-Lovász-Simonovits lemma, dimension-free estimates for the distribution of the values of polynomials, and the distribution of the zeros of random analytic functions. Zbl 1030.60040
Nazarov, F.; Sodin, M.; Vol&rsquo;berg, A.
13
2003
Local dimension-free estimates for volumes of sublevel sets of analytic functions. Zbl 1031.32008
Nazarov, F.; Sodin, M.; Volberg, A.
2
2003
Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular. Zbl 1025.30018
Petermichl, Stefanie; Volberg, Alexander
78
2002
Accretive system \(Tb\)-theorems on nonhomogeneous spaces. Zbl 1055.47027
Nazarov, F.; Treil, S.; Volberg, A.
45
2002
Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. Zbl 0983.42006
Nazarov, F.; Pisier, G.; Treil, S.; Volberg, A.
22
2002
The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces \(K_\theta\). Zbl 1035.42010
Nazarov, F.; Volberg, A.
22
2002
On the inverse scattering problem for Jacobi matrices with the spectrum on an interval, a finite system of intervals or a Cantor set of positive length. Zbl 1019.34082
Volberg, A.; Yuditskii, P.
15
2002
Why the Riesz transforms are averages of the dyadic shifts? Zbl 1031.47021
Petermichl, S.; Treil, S.; Volberg, A.
11
2002
Bellman approach to some problems in harmonic analysis. Zbl 1292.93155
Volberg, Alexander
11
2002
Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences. Zbl 1059.47034
Esterle, Jean; Volberg, Alexander
6
2002
Numerical range and compactness of some composition operators on a Hilbert space of Dirichlet series. (Image numérique et compacité d’opérateurs de composition sur un espace de Hilbert de séries de Dirichlet.) Zbl 1029.47012
Finet, Catherine; Queffélec, Hervé; Volberg, Alexander
1
2002
...and 52 more Documents
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Cited by 1,036 Authors

56 Volberg, Alexander Lvovich
47 Osękowski, Adam
31 Tolsa, Xavier
22 Nazarov, Fedor L.
21 Treil, Sergei
21 Yang, Dachun
20 Hytönen, Tuomas P.
19 Pott, Sandra
19 Wick, Brett D.
18 Petermichl, Stefanie
17 Sawano, Yoshihiro
16 Lacey, Michael T.
15 Bañuelos, Rodrigo
15 Hofmann, Steve
14 Constantin, Peter
14 Martell, José María (Chema)
14 Martikainen, Henri
14 Yuditskii, Peter Meerovich
13 Mourgoglou, Mihalis
13 Vasyunin, Vasiliĭ Ivanovich
12 Ivanisvili, Paata
12 Li, Kangwei
12 Mayboroda, Svitlana
12 Sawyer, Eric T.
12 Zheng, Dechao
11 Lin, Haibo
11 Nikolidakis, Eleftherios Nikolaos
11 Stolyarov, Dmitry M.
11 Tanaka, Hitoshi
11 Yang, Dongyong
11 Zatitskii, Pavel B.
10 Azzam, Jonas
10 Cruz-Uribe, David Vincente
10 Dragičević, Oliver
10 Li, Ji
10 Melas, Antonios D.
10 Shimomura, Tetsu
10 Uriarte-Tuero, Ignacio
10 Vicol, Vlad C.
10 Wu, Jiahong
9 Baranov, Anton D.
9 Lerner, Andrei K.
9 Meng, Yan
9 Reguera, Maria Carmen
9 Wen, Shengyou
9 Xue, Liutang
8 Damanik, David
8 Li, Dong
8 Moen, Kabe
8 Reznikov, Aleksandr
8 Simon, Barry
8 Vuorinen, Emil
7 Domelevo, Komla
7 Dong, Boqing
7 Dong, Hongjie
7 Friedlander, Susan Jean
7 Isralowitz, Joshua
7 Janakiraman, Prabhu
7 Jaye, Benjamin J.
6 Borichev, Aleksandr Aleksandrovich
6 Cao, Mingming
6 Chen, Jiecheng
6 Chung, Daewon
6 Dai, Mimi
6 David, Guy
6 Hu, Guoen
6 Jia, Yan
6 Mauceri, Giancarlo
6 Pereyra, María Cristina
6 Rivera-Ríos, Israel P.
6 Wan, Renhui
6 Xue, Qingying
5 Ambrosio, Vincenzo
5 Beznosova, Oleksandra V.
5 Dym, Harry
5 Goncharov, Alexander P.
5 Hartmann, Andreas
5 Hedenmalm, Håkan
5 Kiselev, Alexander A.
5 Kokilashvili, Vakhtang Mikhailovich
5 Meda, Stefano
5 Mei, Tao
5 Meskhi, Alexander
5 Miao, Changxing
5 Nielsen, Morten
5 Parcet, Javier
5 Rahm, Robert
5 Shen, Chun-Yen
5 Sodin, Mikhail
5 Timotin, Dan
5 Toro, Tatiana
5 Vasseur, Alexis F.
5 Verbitsky, Igor E.
5 Wen, Zhixiong
5 Zhu, Xiang-Chan
4 Abakumov, Evgeny V.
4 Arov, Damir Zyamovich
4 Astala, Kari
4 Atzmon, Aharon
4 Bickel, Kelly
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92 Journal of Functional Analysis
58 Journal of Mathematical Analysis and Applications
58 Advances in Mathematics
48 Proceedings of the American Mathematical Society
44 Transactions of the American Mathematical Society
30 The Journal of Geometric Analysis
26 Journal d’Analyse Mathématique
22 Communications in Mathematical Physics
22 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 Integral Equations and Operator Theory
21 Journal of Differential Equations
20 Revista Matemática Iberoamericana
19 Potential Analysis
18 Duke Mathematical Journal
16 St. Petersburg Mathematical Journal
16 Journal of Mathematical Fluid Mechanics
13 Archive for Rational Mechanics and Analysis
12 Archiv der Mathematik
12 Journal of Approximation Theory
12 Mathematische Annalen
12 The Journal of Fourier Analysis and Applications
12 Journal of Inequalities and Applications
11 Mathematische Zeitschrift
10 Annales de l’Institut Fourier
10 Collectanea Mathematica
10 Illinois Journal of Mathematics
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Calculus of Variations and Partial Differential Equations
9 Geometric and Functional Analysis. GAFA
8 Nonlinearity
8 Studia Mathematica
8 Inventiones Mathematicae
8 Annals of Mathematics. Second Series
8 Acta Mathematica Sinica. English Series
8 Analysis & PDE
7 Israel Journal of Mathematics
7 Arkiv för Matematik
7 Monatshefte für Mathematik
7 Chinese Annals of Mathematics. Series B
7 Science China. Mathematics
6 Rocky Mountain Journal of Mathematics
6 Constructive Approximation
6 Journal of the American Mathematical Society
6 SIAM Journal on Mathematical Analysis
6 Journal of Mathematical Sciences (New York)
6 Bulletin des Sciences Mathématiques
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Computational Methods and Function Theory
5 Mathematische Nachrichten
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5 Memoirs of the American Mathematical Society
5 Physica D
5 Journal of the European Mathematical Society (JEMS)
5 Discrete and Continuous Dynamical Systems. Series B
5 Boundary Value Problems
4 Computers & Mathematics with Applications
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4 The Annals of Probability
4 Applied Mathematics and Computation
4 Journal für die Reine und Angewandte Mathematik
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3 Communications on Pure and Applied Mathematics
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3 Tohoku Mathematical Journal. Second Series
3 Acta Mathematica Hungarica
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3 Publicacions Matemàtiques
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3 Analysis in Theory and Applications
3 Journal of Function Spaces and Applications
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3 Complex Analysis and Operator Theory
3 Frontiers of Mathematics in China
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3 Bulletin of the Hellenic Mathematical Society
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Cited in 50 Fields

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