Two-parameter version of Bourgain's inequality: Rational frequencies
Classical Analysis and ODEs
2015-04-17 v1 Functional Analysis
Abstract
Our aim is to establish the first two-parameter version of Bourgain's maximal logarithmic inequality on for the rational frequencies. We achieve this by introducing a variant of a two-parameter Rademacher--Menschov inequality. The method allows us to control an oscillation seminorm as well.
Keywords
Cite
@article{arxiv.1504.04132,
title = {Two-parameter version of Bourgain's inequality: Rational frequencies},
author = {Ben Krause and Mariusz Mirek and Bartosz Trojan},
journal= {arXiv preprint arXiv:1504.04132},
year = {2015}
}
Comments
17 pages, no figures