Logarithmic Sobolev inequalities and the growth of Lp norms

被引：6

作者：

Rothaus, OS ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 08期

关键词：

D O I：

10.1090/S0002-9939-98-04405-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that many of the recent results on exponential integrability of Lip 1functions, when a logarithmic Sobolev inequality holds, follow from more fundamental estimates of the growth of L-p orms under the same hypotheses.

引用

页码：2309 / 2314

页数：6

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