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math.CA2026
Some extremal problem for martingale transforms. III
Vasily Vasyunin
This paper is a direct continuation of papers arxiv:2401.00053 and arxiv:2507.09332. By this reason, neither the introductory part of the paper nor the bibliography are duplicated…
math.CA2023
Some extremal problems for martingale transforms, I
Vasily Vasyunin, Pavel Zatitskii
With this paper, we begin a series of studies of extremal problems for estimating distributions of martingale transforms of bounded martingales. The Bellman functions corresponding…
math.CA2023★ 1 cited
Martingale transforms of bounded random variables and indicator functions of events
Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskii
We provide sharp estimates for the distribution function of a martingale transform of the indicator function of an event. They are formulated in terms of Burkholder functions, whic…