Weak log-Sobolev and Lp weak Poincare inequalities for general symmetric forms

被引：2

作者：

Deng, Changsong ^{[1
,2
]}

Song, Yanhong ^{[1
]}

机构：

[1] Beijing Normal Univ, Minist Educ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2012年 / 7卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Weak log-Sobolev inequality; L-p weak Poincare inequality; symmetric form; isoperimetric constant;

D O I：

10.1007/s11464-012-0199-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Weak log-Sobolev and L-p weak Poincare inequalities for general symmetric forms are investigated by using newly defined Cheeger's isoperimetric constants. Some concrete examples of ergodic birth-death processes are also presented to illustrate the results.

引用

页码：1059 / 1071

页数：13

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