On fractional Poincar, inequalities

被引：41

作者：

Hurri-Syrjanen, Ritva ^{[1
]}

Vahakangas, Antti V. ^{[1
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2013年 / 120卷

基金：

芬兰科学院;

关键词：

Lipschitz Domain; Dyadic Cube; Bound Lipschitz Domain; Common Face; Uniform Domain;

D O I：

10.1007/s11854-013-0015-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that fractional (p, p)-Poincar, inequalities and even fractional Sobolev-Poincar, inequalities hold for bounded John domains, and especially for bounded Lipschitz domains. We also prove sharp fractional (1,p)-Poincar, inequalities for s-John domains.

引用

页码：85 / 104

页数：20

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