Elementary proof of logarithmic Sobolev inequalities for Gaussian convolutions on $\mathbb{R}$
Functional Analysis
2014-12-05 v1
Abstract
In a 2013 paper, the author showed that the convolution of a compactly supported measure on the real line with a Gaussian measure satisfies a logarithmic Sobolev inequality (LSI). In a 2014 paper, the author gave bounds for the optimal constants in these LSIs. In this paper, we give a simpler, elementary proof of this result.
Keywords
Cite
@article{arxiv.1412.1519,
title = {Elementary proof of logarithmic Sobolev inequalities for Gaussian convolutions on $\mathbb{R}$},
author = {David Zimmermann},
journal= {arXiv preprint arXiv:1412.1519},
year = {2014}
}