The Poincare inequality is an open ended condition

被引：159

作者：

Keith, Stephen ^{[1
]}

Zhong, Xiao ^{[2
]}

机构：

[1] Australian Natl Univ, Canberra, ACT, Australia

[2] Univ Jyvaskyla, Jyvaskyla, Finland

来源：

ANNALS OF MATHEMATICS | 2008年 / 167卷 / 02期

基金：

芬兰科学院; 澳大利亚研究理事会;

关键词：

D O I：

10.4007/annals.2008.167.575

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p > 1 and let (X, d, mu) be a complete metric measure space with mu Borel and doubling that admits a (1, p)-Poincare inequality. Then there exists epsilon > 0 such that (X, d, mu) admits a, (1, q)-Poincare inequality for every q > p - epsilon, quantitatively.

引用

页码：575 / 599

页数：25

共 49 条

[1]

AMBROSIO L., 2004, Oxford Lecture Ser. Math. Appl., V25

[2]

[Anonymous], 2001, SOME NOVEL TYPES FRA

[3] Fat sets and pointwise boundary estimates for p-harmonic functions in metric spaces [J].