Some remarks on weighted logarithmic Sobolev inequality
Probability
2010-07-26 v1 Functional Analysis
Abstract
We give here a simple proof of weighted logarithmic Sobolev inequality, for example for Cauchy type measures, with optimal weight, sharpening results of Bobkov-Ledoux. Some consequences are also discussed.
Cite
@article{arxiv.1005.3908,
title = {Some remarks on weighted logarithmic Sobolev inequality},
author = {Patrick Cattiaux and Arnaud Guillin and Liming Wu},
journal= {arXiv preprint arXiv:1005.3908},
year = {2010}
}