Publications (91)
Carleson measure and balayage
Sandra Pott, Alexander Volberg
The Power Law For Buffon's Needle Landing Near the Sierpinski Gasket
Matthew Bond, Alexander Volberg
Some remarks on extrapolation with "flat" weights
Nicholas Boros, Nikolaos Pattakos, Alexander Volberg
Weak type estimates and Cotlar inequalities for Calderón-Zygmund operators in nonhomogeneous spaces
Fedor Nazarov, Sergei Treil, Alexander Volberg
Ahlfors-Beurling operator on radial functions
Alexander Volberg
A Bellman function proof of the $L^2$ bump conjecture
Fedor Nazarov, Alexander Reznikov, Sergei Treil +1
Bellman function sitting on a tree
Nicola Arcozzi, Irina Holmes, Pavel Mozolyako +1
Poincaré type and spectral gap inequalities with fractional Laplacians on Hamming cube
Dong Li, Alexander Volberg
Perturbation of Burkholder's martingale transform and Monge--Ampère equation
Nicholas Boros, Prabhu Janakiraman, Alexander Volberg
The Sharp Constant in the Weak (1,1) Inequality for the Square Function: A New Proof
Irina Holmes, Paata Ivanisvili, Alexander Volberg
Boundedness of the square function and rectifiability
Svitlana Mayboroda, Alexander Volberg
On a two-phase problem for harmonic measure in general domains
Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa +1
Estimates from below of the Buffon noodle probability for undercooked noodles
Matthew Bond, Alexander Volberg
A theorem about three quadratic forms
Oliver DragiÄeviÄ, Sergei Treil, Alexander Volberg
Subordination by orthogonal martingales in $L^{p}, 1<p\le 2$
Prabhu Janakiraman, Alexander Volberg
Buffon needles landing near Sierpinski gasket
Matthew Bond, Alexander Volberg
On $A_2$ conjecture and corona decomposition of weights
Carlos Perez, Sergei Treil, Alexander Volberg
The proof of non-homogeneous T1 theorem via averaging of dyadic shifts
Alexander Volberg
Two weight inequalities for individual Haar multipliers and other well localized operators
Fedor Nazarov, Sergei Treil, Alexander Volberg
Buffon needle lands in $ε$-neighborhood of a 1-Dimensional Sierpinski Gasket with probability at most $|\logε|^{-c}$
Matt Bond, Alexander Volberg
Spectral perturbation theory and the two weights problem
Alexander Pushnitski, Alexander Volberg
Square functions and the Hamming cube: Duality
Paata Ivanisvili, Fedor Nazarov, Alexander Volberg
On weak weighted estimates of martingale transform
Fedor Nazarov, Alexander Reznikov, Vasily Vasyunin +1
Uniqueness theorems for Cauchy integrals
Mark Melnikov, Alexei Poltoratski, Alexander Volberg
The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions
Fedor Nazarov, Xavier Tolsa, Alexander Volberg
The $s$-Riesz transform of an $s$-dimensional measure in $\R^2$ is unbounded for $1<s<2$
Vladimir Eiderman, Fedor Nazarov, Alexander Volberg
Completely regular multivariate stationary process and the Muckenhoupt condition
Sergei Treil, Alexander Volberg
Covering and separation of Chebyshev points for non-integrable Riesz potentials
Alexander Reznikov, Edward B. Saff, Alexander Volberg
Sharp estimates of martingale transforms in higher dimensions and applications to the Ahlfors-Beurling operator
Oliver Dragicevic, Stefanie Petermichl, Alexander Volberg
Cauchy independent measures and super-additivity of analytic capacity
Alexander Reznikov, Alexander Volberg
Mean type of functions of bounded characteristic and Martin functions in Denjoy domains
Alexander Volberg, Peter Yuditskii
Counterexamples for bi-parameter Carleson embedding
Pavel Mozolyako, Georgios Psaromiligkos, Alexander Volberg
A sharp estimate of weighted dyadic shifts of complexity 0 and 1
Alexander Reznikov, Sergei Treil, Alexander Volberg
Poincaré inequality 3/2 on the Hamming cube
Paata Ivanisvili, Alexander Volberg
Sharp Lower bound estimates for vector-valued and matrix-valued multipliers in $L^p$
Nicholas Boros, Alexander Volberg
Carleson--Buckley measures beyond the scope of $A_\infty$ and their applications
Fedor Nazarov, Alexander Reznikov, Sergei Treil +1
On the Sign Distributions of Hilbert Space Frames
Nikolai Nikolski, Alexander Volberg
A simple sharp weighted estimate of the dyadic shifts on metric spaces with geometric doubling
Fedor Nazarov, Alexander Volberg
The sharp square function estimate with matrix weight
Tuomas Hytönen, Stefanie Petermichl, Alexander Volberg
Bergman-type Singular Operators and the Characterization of Carleson Measures for Besov--Sobolev Spaces on the Complex Ball
Alexander Volberg, Brett D. Wick
Sharp weighted estimates for dyadic shifts and the $A_2$ conjecture
Tuomas Hytönen, Carlos Pérez, Sergei Treil +1
Sharp constants in the classical weak form of the John--Nirenberg inequality
Vasily Vasyunin, Alexander Volberg
Buffon's needle landing near Besicovitch irregular self-similar sets
Matt Bond, Alexander Volberg
An estimate from below for the Buffon needle probability of the four-corner Cantor set
Michael Bateman, Alexander Volberg
Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index
Alexander Borichev, Hakan Hedenmalm, Alexander Volberg
Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension one Hausdorff measure
Jonas Azzam, Steve Hofmann, José MarÃa Martell +4
Bellman Function and the $H^1-BMO$ Duality
Leonid Slavin, Alexander Volberg
On Tsirelson's theorem about triple points for harmonic measure
Xavier Tolsa, Alexander Volberg
On the uniform rectifiability of AD regular measures with bounded Riesz transform operator: the case of codimension 1
Fedor Nazarov, Xavier Tolsa, Alexander Volberg
Burkholder's function via Monge--Ampère equation
Vasily Vasyunin, Alexander Volberg
Uniform approximation of Bloch functions and the boundedness of the integration operator on $H^\infty$
Wayne Smith, Dmitriy M. Stolyarov, Alexander Volberg
The proof of $A_2$ conjecture in a geometrically doubling metric space
Fedor Nazarov, Alexander Reznikov, Alexander Volberg
Laminates Meet Burkholder Functions
Nicholas Boros, Laszlo Szekelyhidi, Alexander Volberg
Random "dyadic" lattice in geometrically doubling metric space and $A_2$ conjecture
Alexander Reznikov, Alexander Volberg
Martingale transform and Square function: some weak and restricted weak sharp weighted estimates
Paata Ivanisvili, Alexander Volberg
The $L^p-$Operator Norm of a Quadratic Perturbation of the Real Part of the Ahlfors--Beurling Operator
Nicholas Boros, László Székelyhidi, Alexander Volberg
Bellman partial differential equation and the hill property for classical isoperimetric problems
Paata Ivanisvili, Alexander Volberg
Scattering theory and Banach space valued singular integrals
Alexander Pushnitski, Alexander Volberg
Counting eigenvalues of Schrödinger operator with complex fast decreasing potential
Alexander Borichev, Rupert Frank, Alexander Volberg
From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity
Paata Ivanisvili, Alexander Volberg
Improving constant in end-point Poincaré inequality on Hamming cube
Paata Ivanisvili, Dong Li, Ramon van Handel +1
An observation: cut-off of the weight $w$ does not increase the $A_{p_{1}, p_{2}}$-"norm'' of $w$
Alexander Reznikov, Vasiliy Vasyunin, Alexander Volberg
Astala's conjecture from the point of view of singular integrals on metric spaces
Alexander Volberg
Bergman-type Singular Integral Operators on Metric Spaces
Alexander Volberg, Brett D. Wick
Linear dimension-free estimates for the Hermite-Riesz transforms
Oliver DragiÄeviÄ, Alexander Volberg
A comparison of box and Carleson conditions on bi-trees
Irina Holmes, Georgios Psaromiligkos, Alexander Volberg
Almost-additivity of analytic capacity and Cauchy independent measures
Vladimir Eiderman, Alexander Reznikov, Alexander Volberg
On Burkholder function for orthogonal martingales and zeros of Legendre polynomials
Alexander Borichev, Prabhu Janakiraman, Alexander Volberg
Sparse domination on non-homogeneous spaces with an application to $A_p$ weights
Alexander Volberg, Pavel Zorin-Kranich
Some new Bellman functions and subordination by orthogonal martingales in $L^{p}, 1<p\le 2$
Prabhu Janakiraman, Vasily Vasyunin, Alexander Volberg
Extremizers and Bellman function for martingale weak type inequality
Alexander Reznikov, Vasiliy Vasyunin, Alexander Volberg
Analytical model for laser-assisted recombination of hydrogenic atoms
Gavriil Shchedrin, Alexander Volberg
Absolute continuity between the surface measure and harmonic measure implies rectifiability
Steve Hofmann, José Maria Martell, Svitlana Mayboroda +2
Entropy conditions in two weight inequalities for singular integral operators
Sergei Treil, Alexander Volberg
Bilinear embedding for real elliptic differential operators in divergence form with potentials
Oliver DragiÄeviÄ, Alexander Volberg
Convex body domination and weighted estimates with matrix weights
Fedor Nazarov, Stefanie Petermichl, Sergei Treil +1
Bellman approach to the one-sided bumping for weighted estimates of Calderón--Zygmund operators
Fedor Nazarov, Alexander Reznikov, Alexander Volberg
Buffon's needle estimates for rational product Cantor sets
Matthew Bond, Izabella Laba, Alexander Volberg
Bellman functions and two weight inequalities for Haar multipliers
Fedor Nazarov, Sergei Treil, Alexander Volberg
Monge--Ampère equation and Bellman optimization of Carleson Embedding Theorems
Vasily Vasyunin, Alexander Volberg
The power law for the Buffon needle probability of the four-corner Cantor set
Fedor Nazarov, Yuval Peres, Alexander Volberg
Logarithmic bump conditions and the two weight boundedness of Calderón-Zygmund operators
David Cruz-Uribe, Alexander Reznikov, Alexander Volberg
Bellman function technique in Harmonic Analysis. Lectures of INRIA Summer School in Antibes, June 2011
Alexander Volberg
$L^2$-norm and estimates from below for Riesz transforms on Cantor sets
Vladimir Eiderman, Alexander Volberg
Rectifiability of harmonic measure
Jonas Azzam, Steve Hofmann, José MarÃa Martell +4
Improving Beckner's bound via Hermite functions
Paata Ivanisvili, Alexander Volberg
The fractional Riesz transform and an exponential potential
Benjamin Jaye, Fedor Nazarov, Alexander Volberg
Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach
Paata Ivanisvili, Alexander Volberg
Square function and Riesz transform in non-integer dimensions
Svitlana Mayboroda, Alexander Volberg
Transportation to random zeroes by the gradient flow
Fedor Nazarov, Mikhail Sodin, Alexander Volberg
Two weight estimate for the Hilbert transform and corona decomposition for non-doubling measures
Fedor Nazarov, Sergei Treil, Alexander Volberg