Khintchine inequalities and $Z_2$ sets
Functional Analysis
2025-03-06 v1
Abstract
In this paper we show that the subset of integers that satisfies the Khintchine inequality for with the optimal constant has to be a set. We further prove a similar result for a large class of discrete groups. Our arguments rely on previous works by Haagerup/Musat \cite{Haagerup2007}, and Haagerup/Itoh \cite{Haagerup1995}.
Cite
@article{arxiv.2503.03187,
title = {Khintchine inequalities and $Z_2$ sets},
author = {Chian Yeong Chuah and Zhen-Chuan Liu and Tao Mei},
journal= {arXiv preprint arXiv:2503.03187},
year = {2025}
}