Mappings of finite signed distortion: Sobolev spaces and composition of mappings

被引：15
|
作者：
Kleprlik, Ludek [1 ]
机构：
[1] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Prague 8, Czech Republic
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 386卷 / 02期
关键词：
Finite distortion; Luzin condition; Composition operator;
D O I：
10.1016/j.jmaa.2011.08.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the optimal conditions on a homeomorphism f : Omega -> R(n) which guarantee that the composition u o f belongs to the Sobolev space W(1,p) for every u is an element of W(1,q). To prove it we characterize when the inverse mapping f(-1) maps sets of measure zero onto sets of measure zero (satisfies the Luzin (N(-1)) condition). (C) 2011 Elsevier Inc. All rights reserved.
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页码：870 / 881
页数：12
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