Sobolev Wp1-spaces on closed subsets of Rn

被引：23
作者：
Shvartsman, P. [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
ADVANCES IN MATHEMATICS | 2009年 / 220卷 / 06期
关键词：
Sobolev spaces; Restriction; Extension operator; Oscillation; Doubling measure; MAXIMAL FUNCTIONS; REGULAR SUBSETS; SPACES; DOMAINS; INEQUALITIES; EXTENSIONS; SETS;
D O I：
10.1016/j.aim.2008.09.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For each p > n we use local oscillations and doubling measures to give intrinsic characterizations of the restriction of the Sobolev space W-p(1)(R-n) to an arbitrary closed subset of R-n. (C) 2008 Elsevier Inc. All rights reserved.
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页码：1842 / 1922
页数：81
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