On Sobolev extension domains in Rn

被引：32

作者：

Shvartsman, Pavel ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 258卷 / 07期

关键词：

Sobolev space; Extension; Domain; Inner metric; WEIGHTED NORM INEQUALITIES; LIPSCHITZ CLASSES; REGULAR SUBSETS; MEASURE DENSITY; EXTENDABILITY; OPERATORS; SPACES;

D O I：

10.1016/j.jfa.2010.01.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a class of Sobolev W-p(k)-extension domains Omega subset of R-n determined by a certain inner subhyperbolic metric in Omega. This enables us to characterize finitely connected Sobolev W-p(1)-extension domains in R-2 for each p > 2. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2205 / 2245

页数：41

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