A note on the equivalence of super-Poincar\'e inequality
Probability
2026-05-11 v1 Functional Analysis
Abstract
In this paper we will study the equivalence between super-Poincar\'e inequality and some log-Sobolev type inequalities, including weak log-Sobolev inequality and super log-Sobolev inequality. The explicit relations between associated rate functions will also be established.
Keywords
Cite
@article{arxiv.2605.07411,
title = {A note on the equivalence of super-Poincar\'e inequality},
author = {Xin Chen and Qiuchen Yang},
journal= {arXiv preprint arXiv:2605.07411},
year = {2026}
}