English

Some extremal problems for martingale transforms. II

Classical Analysis and ODEs 2025-07-15 v1 Analysis of PDEs Probability

Abstract

This paper is a direct continuation of the paper arXiv:2401.00053. By this reason neither introductory part of the paper nor the list of references are not duplicated. However for the reader convenience, the formulas from the first paper that are cited here are collected in a special addendum at the end of the paper with their original numbers. At this paper two new local foliations are investigated: minor pockets and rectangles. The appearance of such local foliations is illustrated by the further investigation of the examples with the boundary functions being the polynomials of the third degree.

Keywords

Cite

@article{arxiv.2507.09332,
  title  = {Some extremal problems for martingale transforms. II},
  author = {V. Vasyunin},
  journal= {arXiv preprint arXiv:2507.09332},
  year   = {2025}
}

Comments

26 pages, 8 figures

R2 v1 2026-07-01T03:58:02.886Z