Modified logarithmic Sobolev inequalities on R

被引：0

作者：

Barthe, F. ^{[2
]}

Roberto, C. ^{[1
,3
]}

机构：

[1] Univ Marne la Vallee, UMR 8050, Lab Analyse & Math Appl, F-77454 Champs Sur Marne 2, Marne La Valle, France

[2] Univ Toulouse 3, Inst Math, F-31062 Toulouse 09, France

[3] Univ Paris 12, F-77454 Champs Sur Marne 2, Marne La Valle, France

来源：

POTENTIAL ANALYSIS | 2008年 / 29卷 / 02期

关键词：

Sobolev inequalities; concentration;

D O I：

10.1007/s11118-008-9093-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a sufficient condition for a measure on the real line to satisfy a modified logarithmic Sobolev inequality, thus extending the criterion of Bobkov and Gotze. Under mild assumptions the condition is also necessary. Concentration inequalities are derived. This completes the picture given in recent contributions by Gentil, Guillin and Miclo.

引用

页码：167 / 193

页数：27

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