V. Vasyunin

activity

20062025

most citedOn weak weighted estimates of martingale transform

18 citations · 69 across the 22 of their papers we have counts for

collaborators

27 papers

math.CA2025

Some extremal problems for martingale transforms. II

V. Vasyunin

This paper is a direct continuation of the paper arXiv:2401.00053. By this reason neither introductory part of the paper nor the list of references are not duplicated. However for…

math.CA2023

Bellman functions on simple non-convex domains in the plane

Paata Ivanisvili, Dmitriy Stolyarov, Vasily Vasyunin +1

The present paper provides a generalization of the previous authors' work on Bellman functions for integral functionals on $BMO$ . Those Bellman functions are the minimal l…

math.CA2022

On a Bellman function associated with the Chang--Wilson--Wolff theorem: a case study

Fedor Nazarov, Vasily Vasyunin, Alexander Volberg

In this paper we estimate the tail of distribution (i.e., the measure of the set ${f \geq x}$ ) for those functions $f$ whose dyadic square function is bounded by a given constant.…

math.CA2021★ 2 cited

Sharp multiplicative inequalities with $BMO$ $II$

Vasily Vasyunin, Pavel Zatitskiy, Ilya Zlotnikov

We find the best possible constant $C$ in the inequality $∥ φ ∥_{L^{r}}^{\frac{p}{r}} \leq C ∥ φ ∥_{L^{p}}^{\frac{p}{r}} ∥ φ ∥_{BMO}^{1 - \frac{p}{r}}$ for all possible…

math.PR2021★ 4 cited

Sharp moment estimates for martingales with uniformly bounded square functions

Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskiy +1

We provide sharp bounds for the exponential moments and $p$ -moments, $1 ⩽ p ⩽ 2$ , of the terminate distribution of a martingale whose square function is uniformly bo…

math.CA2020

Sharp mutliplicative inequalities with $BMO$ $I$

Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskiy

We find the best possible constant $C$ in the inequality $∥ φ ∥_{L^{r}} \leq C ∥ φ ∥_{L^{p}}^{\frac{p}{r}} ∥ φ ∥_{BMO}^{1 - \frac{p}{r}}$ , where $2 \leq r$ and $p < r$ . We employ t…