On fractional Poincaré inequalities

被引：0
|
作者：
Ritva Hurri-Syrjänen
Antti V. Vähäkangas
机构：
[1] University of Helsinki,Department of Mathematics and Statistics
来源：
Journal d'Analyse Mathématique | 2013年 / 120卷
关键词：
Lipschitz Domain; Dyadic Cube; Bound Lipschitz Domain; Common Face; Uniform Domain;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that fractional (p, p)-Poincaré inequalities and even fractional Sobolev-Poincaré inequalities hold for bounded John domains, and especially for bounded Lipschitz domains. We also prove sharp fractional (1,p)-Poincaré inequalities for s-John domains.
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页码：85 / 104
页数：19
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