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.
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页码：2205 / 2245
页数：41
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