Alexander Volberg

Research.com Recognitions

• 2021 - Fellow of the American Mathematical Society For contributions to harmonic analysis and its relations to geometric measure theory.

Overview

Best Publications

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

  A. Kiselev;F. Nazarov;A. Volberg

  583
  Citations

• The Tb-theorem on non-homogeneous spaces

  F. Nazarov;S. Treil;A. Volberg

  447
  Citations

• Weak type estimates and Cotlar inequalities for Calderón-Zygmund operators on nonhomogeneous spaces

  F. Nazarov;S. Treil;A. Volberg

  436
  Citations

• The Bellman functions and two-weight inequalities for Haar multipliers

  F. Nazarov;S. Treil;A. Volberg

  346
  Citations

• Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular

  Stefanie Petermichl;Alexander Volberg

  337
  Citations

• Cauchy integral and Calderón-Zygmund operators on nonhomogeneous spaces

  F. Nazarov;S. Treil;A. Volberg

  257
  Citations

• Wavelets and the Angle between Past and Future

  S Treil;A Volberg

  234
  Citations

• On measures with the doubling condition

  A L Vol'berg;S V Konyagin

  193
  Citations

• Calderón-Zygmund Capacities and Operators on Nonhomogeneous Spaces

  Alexander Volberg

  181
  Citations

• On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1

  Fedor Nazarov;Alexander Volberg;Xavier Tolsa

  157
  Citations

• Accretive system Tb-theorems on nonhomogeneous spaces

  F. Nazarov;S. Treil;A. Volberg

  149
  Citations

• Two weight inequalities for individual Haar multipliers and other well localized operators

  Fedor Nazarov;Sergei Treil;Alexander Volberg

  143
  Citations

• Matrix _{} weights via -functions

  A. Volberg

  122
  Citations

• Bellman function in stochastic control and harmonic analysis

  F. Nazarov;S. Treil;A. Volberg

  108
  Citations

• Sharp estimate of the Ahlfors-Beurling operator via averaging martingale transforms

  Oliver Dragičević;Alexander Volberg

  96
  Citations

• Two weight estimate for the Hilbert transform and corona decomposition for non-doubling measures

  Fedor Nazarov;Sergei Treil;Alexander Volberg

  93
  Citations

• Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts

  F. Nazarov;G. Pisier;S. Treil;A. Volberg

  91
  Citations

• The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces K θ

  F. Nazarov;A. Volberg;A. Volberg

  90
  Citations

• Monge--Amp`ere equation and Bellman optimization of Carleson Embedding Theorems

  Vasily Vasyunin;Alexander Volberg

  86
  Citations

• Heating of the Ahlfors–Beurling operator, and estimates of its norm

  A. Volberg;F. Nazarov

  78
  Citations

• Bellman functions and two weight inequalities for Haar multipliers

  Fedor Nazarov;Sergei Treil;Alexander Volberg

  54
  Citations