The paper 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.
Some Remarks on the Stability of the Log-Sobolev Inequality for the Gaussian Measure / Feo, Filomena; Indrei, E.; Posteraro, MARIA ROSARIA; Roberto, Cyril. - In: POTENTIAL ANALYSIS. - ISSN 1572-929X. - (2016), pp. 1-16. [10.1007/s11118-016-9607-5]
Some Remarks on the Stability of the Log-Sobolev Inequality for the Gaussian Measure
FEO, FILOMENA;POSTERARO, MARIA ROSARIA;ROBERTO, CYRIL
2016
Abstract
The paper 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.File in questo prodotto:
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