Some remarks on the stability of the log-Sobolev inequality for the Gaussian measure
type: Item
instance of: scholarly article
title: Some remarks on the stability of the log-Sobolev inequality for the Gaussian measure
zbMATH Open document ID: 1373.28014
author: Filomena Feo
author: C. Roberto
author: Emanuel Indrei
author: M. Rosaria Posteraro
published in: Potential Analysis
publication date: 2017-08-11T00:00:00Z
review text: The authors summarize the contents of this paper in the abstract of the paper as follows: This note consists of two parts. Firstly, we bound the deficit in the logarithmic Sobolev inequality and in the Talagrand transport-entropy inequality for the Gaussian measure, in any dimension, by means of a distance introduced by Bucur and Fragalà. Thereafter, we investigate the stability issue with tools from Fourier analysis.
reviewed by: Kun Soo Chang
Mathematics Subject Classification ID: 28C20
zbMATH DE Number: 6759806
zbMATH Keywords: log-Sobolev inequality
zbMATH Keywords: transport inequality
zbMATH Keywords: Prekopa-Leindler
zbMATH Keywords: stability
zbMATH Keywords: Gaussian measure
MaRDI profile type: Publication
full work available at URL: s11118-016-9607-5
OpenAlex ID: W2565722255
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DOI: 10.1007/S11118-016-9607-5
description: scientific article; zbMATH DE number 6759806