A note on the Modified Log-Sobolev inequality
Functional Analysis
2019-07-05 v2 Probability
Abstract
A criterion is presented for the Modified Logarithmic Sobolev inequality on metric measure spaces. The criterion based on U-bound inequalities introduced by Hebisch and Zegarlinski allows to show the inequality for measures that go beyond log-concavity.
Cite
@article{arxiv.1005.4946,
title = {A note on the Modified Log-Sobolev inequality},
author = {Ioannis Papageorgiou},
journal= {arXiv preprint arXiv:1005.4946},
year = {2019}
}
Comments
14 pages. Accepted for publication at Journal of Potential Analysis