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Alexander Volberg

Identifiers

  • name variant Alexander Volberg 0.60 · backfill

Papers (94)

  1. The Poisson Matrix $\mathbf{A}_2$ characteristic and the 3/2 blow up of the Hilbert transform math.CA · 2026 · author #5
  2. The Boolean surface area of polynomial threshold functions cs.CC · 2026 · author #3
  3. Approximating the operator norm of local Hamiltonians via few quantum states quant-ph · 2025 · author #3
  4. Counterexamples for bi-parameter Carleson embedding math.AP · 2019 · author #3
  5. A comparison of box and Carleson conditions on bi-trees math.CA · 2019 · author #3
  6. On the Sign Distributions of Hilbert Space Frames math.FA · 2018 · author #2
  7. Counting eigenvalues of Schr\"odinger operator with complex fast decreasing potential math.CA · 2018 · author #3
  8. Improving constant in end-point Poincar\'e inequality on Hamming cube math.PR · 2018 · author #4
  9. Bellman function sitting on a tree math.CA · 2018 · author #4
  10. Poincar\'e type and spectral gap inequalities with fractional Laplacians on Hamming cube math.AP · 2018 · author #2
  11. Martingale transform and Square function: some weak and restricted weak sharp weighted estimates math.AP · 2017 · author #2
  12. The Sharp Constant in the Weak (1,1) Inequality for the Square Function: A New Proof math.CA · 2017 · author #3
  13. From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity math.AP · 2017 · author #2
  14. Square functions and the Hamming cube: Duality math.AP · 2017 · author #3
  15. Covering and separation of Chebyshev points for non-integrable Riesz potentials math.CA · 2017 · author #3
  16. The sharp square function estimate with matrix weight math.CA · 2017 · author #3
  17. Convex body domination and weighted estimates with matrix weights math.CA · 2017 · author #4
  18. On weak weighted estimates of martingale transform math.AP · 2016 · author #4
  19. On a two-phase problem for harmonic measure in general domains math.CA · 2016 · author #4
  20. On Tsirelson's theorem about triple points for harmonic measure math.CA · 2016 · author #2
  21. Poincar\'e inequality 3/2 on the Hamming cube math.AP · 2016 · author #2
  22. Improving Beckner's bound via Hermite functions math.AP · 2016 · author #2
  23. Sparse domination on non-homogeneous spaces with an application to $A_p$ weights math.CA · 2016 · author #1
  24. Uniform approximation of Bloch functions and the boundedness of the integration operator on $H^\infty$ math.CV · 2016 · author #3
  25. Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach math.AP · 2015 · author #2
  26. Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension one Hausdorff measure math.CA · 2015 · author #7
  27. Rectifiability of harmonic measure math.CA · 2015 · author #7
  28. Absolute continuity between the surface measure and harmonic measure implies rectifiability math.AP · 2015 · author #5
  29. Bellman partial differential equation and the hill property for classical isoperimetric problems math.AP · 2015 · author #2
  30. Entropy conditions in two weight inequalities for singular integral operators math.CA · 2014 · author #2
  31. Mean type of functions of bounded characteristic and Martin functions in Denjoy domains math.CV · 2014 · author #1
  32. Almost-additivity of analytic capacity and Cauchy independent measures math.AP · 2014 · author #3
  33. Extremizers and Bellman function for martingale weak type inequality math.CA · 2013 · author #3
  34. Bellman approach to the one-sided bumping for weighted estimates of Calder\'on--Zygmund operators math.CA · 2013 · author #3
  35. Spectral perturbation theory and the two weights problem math.CA · 2013 · author #2
  36. The proof of non-homogeneous T1 theorem via averaging of dyadic shifts math.AP · 2013 · author #1
  37. The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions math.CA · 2012 · author #3
  38. On the uniform rectifiability of AD regular measures with bounded Riesz transform operator: the case of codimension 1 math.AP · 2012 · author #3
  39. Scattering theory and Banach space valued singular integrals math.SP · 2012 · author #2
  40. Cauchy independent measures and super-additivity of analytic capacity math.CA · 2012 · author #2
  41. Some remarks on extrapolation with "flat" weights math.CA · 2012 · author #3
  42. The fractional Riesz transform and an exponential potential math.AP · 2012 · author #3
  43. Sharp constants in the classical weak form of the John--Nirenberg inequality math.AP · 2012 · author #2
  44. Ahlfors-Beurling operator on radial functions math.CA · 2012 · author #1
  45. Carleson--Buckley measures beyond the scope of $A_\infty$ and their applications math.CA · 2012 · author #4
  46. A Bellman function proof of the $L^2$ bump conjecture math.CA · 2012 · author #4
  47. Astala's conjecture from the point of view of singular integrals on metric spaces math.AP · 2011 · author #1
  48. Logarithmic bump conditions and the two weight boundedness of Calder\'on-Zygmund operators math.AP · 2011 · author #3
  49. Sharp Lower bound estimates for vector-valued and matrix-valued multipliers in $L^p$ math.CA · 2011 · author #2
  50. Laminates Meet Burkholder Functions math.AP · 2011 · author #3
  51. The $L^p-$Operator Norm of a Quadratic Perturbation of the Real Part of the Ahlfors--Beurling Operator math.AP · 2011 · author #3
  52. The $s$-Riesz transform of an $s$-dimensional measure in $\R^2$ is unbounded for $1<s<2$ math.AP · 2011 · author #3
  53. Buffon's needle estimates for rational product Cantor sets math.CA · 2011 · author #3
  54. Bellman function technique in Harmonic Analysis. Lectures of INRIA Summer School in Antibes, June 2011 math.PR · 2011 · author #1
  55. The proof of $A_2$ conjecture in a geometrically doubling metric space math.CA · 2011 · author #3
  56. Bilinear embedding for real elliptic differential operators in divergence form with potentials math.CA · 2011 · author #2
  57. A sharp estimate of weighted dyadic shifts of complexity 0 and 1 math.CA · 2011 · author #3
  58. A simple sharp weighted estimate of the dyadic shifts on metric spaces with geometric doubling math.MG · 2011 · author #2
  59. Random "dyadic" lattice in geometrically doubling metric space and $A_2$ conjecture math.CA · 2011 · author #2
  60. Perturbation of Burkholder's martingale transform and Monge--Amp\`ere equation math.PR · 2011 · author #3
  61. Subordination by orthogonal martingales in $L^{p}, 1<p\le 2$ math.PR · 2010 · author #2
  62. Some new Bellman functions and subordination by orthogonal martingales in $L^{p}, 1<p\le 2$ math.PR · 2010 · author #3
  63. $L^2$-norm and estimates from below for Riesz transforms on Cantor sets math.CA · 2010 · author #2
  64. Sharp weighted estimates for dyadic shifts and the $A_2$ conjecture math.CA · 2010 · author #4
  65. An observation: cut-off of the weight $w$ does not increase the $A_{p_{1}, p_{2}}$-"norm'' of $w$ math.AP · 2010 · author #3
  66. Burkholder's function via Monge--Amp\`ere equation math.AP · 2010 · author #2
  67. On $A_2$ conjecture and corona decomposition of weights math.AP · 2010 · author #3
  68. Analytical model for laser-assisted recombination of hydrogenic atoms physics.atom-ph · 2010 · author #2
  69. Two weight estimate for the Hilbert transform and corona decomposition for non-doubling measures math.AP · 2010 · author #3
  70. On Burkholder function for orthogonal martingales and zeros of Legendre polynomials math.CA · 2010 · author #3
  71. Bergman-type Singular Integral Operators on Metric Spaces math.CA · 2009 · author #1
  72. Buffon's needle landing near Besicovitch irregular self-similar sets math.AP · 2009 · author #2
  73. Buffon needle lands in $\epsilon$-neighborhood of a 1-Dimensional Sierpinski Gasket with probability at most $|\log\epsilon |^{-c}$ math.CA · 2009 · author #2
  74. The Power Law For Buffon's Needle Landing Near the Sierpinski Gasket math.CA · 2009 · author #2
  75. Bergman-type Singular Operators and the Characterization of Carleson Measures for Besov--Sobolev Spaces on the Complex Ball math.CV · 2009 · author #1
  76. Carleson measure and balayage math.CA · 2009 · author #2
  77. Square function and Riesz transform in non-integer dimensions math.CA · 2009 · author #2
  78. Boundedness of the square function and rectifiability math.CA · 2009 · author #2
  79. Buffon needles landing near Sierpinski gasket math.CA · 2009 · author #2
  80. Estimates from below of the Buffon noodle probability for undercooked noodles math.AP · 2008 · author #2
  81. Bellman Function and the $H^1-BMO$ Duality math.CA · 2008 · author #2
  82. An estimate from below for the Buffon needle probability of the four-corner Cantor set math.CA · 2008 · author #2
  83. Monge--Amp\`ere equation and Bellman optimization of Carleson Embedding Theorems math.AP · 2008 · author #2
  84. The power law for the Buffon needle probability of the four-corner Cantor set math.CA · 2008 · author #3
  85. Linear dimension-free estimates for the Hermite-Riesz transforms math.CA · 2007 · author #2
  86. A theorem about three quadratic forms math.FA · 2007 · author #3
  87. Uniqueness theorems for Cauchy integrals math.CV · 2007 · author #3
  88. Two weight inequalities for individual Haar multipliers and other well localized operators math.CA · 2007 · author #3
  89. Sharp estimates of martingale transforms in higher dimensions and applications to the Ahlfors-Beurling operator math.FA · 2006 · author #3
  90. Transportation to random zeroes by the gradient flow math.CV · 2005 · author #3
  91. Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index math.FA · 2003 · author #3
  92. Completely regular multivariate stationary process and the Muckenhoupt condition math.PR · 1997 · author #2
  93. Weak type estimates and Cotlar inequalities for Calder\'{o}n-Zygmund operators in nonhomogeneous spaces math.FA · 1997 · author #3
  94. Bellman functions and two weight inequalities for Haar multipliers math.FA · 1997 · author #3

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