Variational Formulas of Poincare-Type Inequalities in Banach Spaces of Functions on the Line

被引：0

作者：

Mu Fa CHEN Department of Mathematics Beijing Normal University Beijing P R China ^{[100875
]}

机构：

来源：

Acta Mathematica Sinica(English Series) | 2002年 / 18卷 / 03期

关键词：

Variational formula; Poincare inequality; Logarithmic Sobolev inequality; Orliez space;

D O I：

暂无

中图分类号：

O177.2 [巴拿赫空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

<正> Motivated from the study on logarithmic Sobolev. Nash and other functional inequalities,the variational formulas for Poincare inequalities are extended to a large class of Banach (Orlicz)spaces of functions on the line. Explicit criteria for the inequalities to hold and explicit estimatesfor the optimal constants in the inequalities are presented. As a typical application, the logarithmicSobolev constant is carefully examined.

引用

页码：417 / 436

页数：20

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