A Bakry-\'Emery criterion for weighted contractivity and $L^2$-Hardy inequalities
Functional Analysis
2025-08-12 v3 Analysis of PDEs
Probability
Abstract
We show a symmetric Markov diffusion semigroup satisfies a weighted contractivity condition if and only if a -Hardy inequality holds, and we give a Bakry-\'Emery type criterion for the former. We then give some applications.
Keywords
Cite
@article{arxiv.2209.08304,
title = {A Bakry-\'Emery criterion for weighted contractivity and $L^2$-Hardy inequalities},
author = {Yaozhong W. Qiu},
journal= {arXiv preprint arXiv:2209.08304},
year = {2025}
}
Comments
23 pages, changed title, some changes made according to referee recommendations, to appear in Commun. Contemp. Math