1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CA2024
New Bellman induction and a weak version of
Egor Dobronravov, Dmitriy Stolyarov, Pavel Zatitskii
We enlarge the area of applicability of the Bellman function method to estimates in the spirit of the John--Nirenberg inequality abandoning certain convexity assumptions. As an app…
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…