English

On the Signed Small Ball Inequality

Classical Analysis and ODEs 2007-09-19 v1

Abstract

This paper is a companion to our prior paper arXiv:0705.4619 on the `Small Ball Inequality in All Dimensions.' In it, we address a more restrictive inequality, and obtain a non-trivial, explicit bound, using a single essential estimate from our prior paper. The prior bound was not explicit and much more involved.

Keywords

Cite

@article{arxiv.0709.2713,
  title  = {On the Signed Small Ball Inequality},
  author = {Dmitriy Bilyk and Michael T Lacey and Armen Vagharshakyan},
  journal= {arXiv preprint arXiv:0709.2713},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-06-21T09:18:29.348Z