1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
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 . Those Bellman functions are the minimal l…