511 citations · 591 across the 16 of their papers we have counts for
18 papers
Measure concentration for vector valued functions on Hamming cube
Alexander Borichev, Alexander Volberg
We prove here the concentration of measure inequality for Lipschitz function on the Hamming cube with values in any Banach spaces of finite cotype.
Noncommutative Bohnenblust--Hille inequalities
Alexander Volberg, Haonan Zhang
Bohnenblust--Hille inequalities for Boolean cubes have been proven with dimension-free constants that grow subexponentially in the degree \cite{defant2019fourier}. Such inequalitie…
Local properties of Riesz minimal energy configurations and equilibrium measures
D. P. Hardin, A. Reznikov, E. B. Saff +1
We investigate separation properties of -point configurations that minimize discrete Riesz -energy on a compact set . When is a smooth -dime…
Sharp constants in the classical weak form of the John--Nirenberg inequality
Vasily Vasyunin, Alexander Volberg
The sharp constants in the classical John--Nirenberg inequality are found by using Bellman function approach.
Bellman function technique in Harmonic Analysis. Lectures of INRIA Summer School in Antibes, June 2011
Alexander Volberg
It is strange but fruitful to think about the functions as random processes. Any function can be viewed as a martingale (in many different ways) with discrete time. But it can be u…
Perturbation of Burkholder's martingale transform and Monge--Ampère equation
Nicholas Boros, Prabhu Janakiraman, Alexander Volberg
Let be a complex martingale difference in where and $\{\e_k\}_{k \geq 0}$ a sequence in We obtain the following generali…