Characterization of orlicz-sobolev space

被引：10

作者：

Tuominen, Heli ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland

来源：

ARKIV FOR MATEMATIK | 2007年 / 45卷 / 01期

基金：

芬兰科学院;

关键词：

D O I：

10.1007/s11512-006-0023-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new characterization of the Orlicz-Sobolev space W-1,W-psi (R-n) in terms of a pointwise inequality connected to the Young function psi. We also study different Poincare inequalities in the metric measure space.

引用

页码：123 / 139

页数：17

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