Some Remarks on Weighted Logarithmic Sobolev Inequality

被引：15

作者：

Cattiaux, Patrick ^{[1
]}

Guillin, Arnaud ^{[2
]}

Wu, Li-Ming ^{[2
]}

机构：

[1] Univ Toulouse 3, Inst Math Toulouse, CNRS UMR 5219, F-31062 Toulouse 09, France

[2] Univ Blaise Pascal, Lab Math, CNRS UMR 6620, F-63177 Aubiere, France

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2011年 / 60卷 / 06期

关键词：

Lyapunov functions; Talagrand transportation information inequality; logarithmic Sobolev inequality; MARKOV PROCESS EXPECTATIONS; FUNCTIONAL INEQUALITIES; ASYMPTOTIC EVALUATION; PROBABILITY-MEASURES; MODERATE DEVIATIONS; SPECTRAL THEORY; FAST DIFFUSION; CONVERGENCE; HYPERCONTRACTIVITY; STABILITY;

D O I：

10.1512/iumj.2011.60.4405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 [12]. Some consequences are also discussed.

引用

页码：1885 / 1904

页数：20

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