1 citations · 2 across the 11 of their papers we have counts for
3 papers · 1 filter
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…
Alberti's type rank one theorem for martingales
Rami Ayoush, Dmitriy Stolyarov, Michał Wojciechowski
We prove that the polar decomposition of the singular part of a vector measure depends on its conditional expectations computed with respect to the -regular filtration. This dep…
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…