Some super-Poincar\'e inequalities for gaussian-like measures on stratified Lie groups
Probability
2024-05-28 v2 Functional Analysis
Abstract
We continue the -bound program initiated in [J. Funct. Anal. 258, 814-851 (2010)] and prove super-Poincar\'e inequalities for a class of subelliptic probability measures defined on M\'etivier groups, the main ingredient in the proof being a Hardy-type inequality. In doing so, we recover and extend some previous results from the probabilistic viewpoint.
Keywords
Cite
@article{arxiv.2404.00293,
title = {Some super-Poincar\'e inequalities for gaussian-like measures on stratified Lie groups},
author = {Yaozhong W. Qiu},
journal= {arXiv preprint arXiv:2404.00293},
year = {2024}
}
Comments
19 pages, major changes to proofs, some corrections, and some examples added