Logarithmic Sobolev inequalities on noncompact Riemannian manifolds

被引：1

作者：

Feng-Yu Wang

机构：

[1] Department of Mathematics,

[2] Beijing Normal University,undefined

[3] Beijing 100875,undefined

[4] P. R. China e-mail: wangfy@bnu.edu.cn,undefined

来源：

Probability Theory and Related Fields | 1997年 / 109卷

关键词：

AMS Subject Classification (1991): 35P15; 60J60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper presents a dimension-free Harnack type inequality for heat semigroups on manifolds, from which a dimension-free lower bound is obtained for the logarithmic Sobolev constant on compact manifolds and a new criterion is proved for the logarithmic Sobolev inequalities (abbrev. LSI) on noncompact manifolds. As a result, it is shown that LSI may hold even though the curvature of the operator is negative everywhere.

引用

页码：417 / 424

页数：7

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