Composition operators in weighted Sobolev spaces on Carnot groups

被引：1
|
作者：
Ukhlov, A. [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
ACTA MATHEMATICA HUNGARICA | 2011年 / 133卷 / 1-2期
关键词：
weighted Sobolev space; composition operator; Carnot group; FINITE DISTORTION; MAPPINGS; HOMEOMORPHISMS;
D O I：
10.1007/s10474-011-0104-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study mappings that generate bounded composition operators in weighted Sobolev spaces on Carnot groups. A complete analytical description of these mappings is given in terms of integrability of distortion of mappings in weighted Lebesgue spaces. We define weighted Sobolev mappings and study their connection with ACL-mappings. As an application we obtain weighted Sobolev type embedding theorems on Carnot groups.
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页码：103 / 127
页数：25
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