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Some extremal problems for martingale transforms, I by Vasyunin, Vasily; Zatitskii, Pavel is a scholarly article available to read on EtoBox.

What is Some extremal problems for martingale transforms, I about?

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 to such problems are pointwise minimal diagonally concave functions on a horizontal strip, satisfying certain given boundary conditions. We describe the basic structures that arise when constructing such functions and present a solution in the case of asymmetric boundary conditions and a sufficiently small width of the strip.

Author

Vasyunin, Vasily; Zatitskii, Pavel

Published

2023

Language

EN