$q$-Poincar\'e inequalities on Carnot Groups with filiform type Lie algebra
Functional Analysis
2023-06-27 v4
Abstract
In this paper, we prove (global) -Poincar\'e inequalities for probability measures on nilpotent Lie groups with filiform Lie algebra of any length. The probability measures under consideration have a density with respect to the Haar measure given as a function of a suitable homogeneous norm.
Keywords
Cite
@article{arxiv.2007.04689,
title = {$q$-Poincar\'e inequalities on Carnot Groups with filiform type Lie algebra},
author = {Marianna Chatzakou and Serena Federico and Boguslaw Zegarlinski},
journal= {arXiv preprint arXiv:2007.04689},
year = {2023}
}
Comments
29 pages