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.

引用

页码：103 / 127

页数：25

共 45 条

[1]

[Anonymous], 1996, Siberian Adv. Math

[2]

[Anonymous], 1982, Mathematical Notes

[3]

[Anonymous], 1988, Taylor Formula and Function Spaces

[4]

[Anonymous], 2004, Siberian Adv. Math.

[5]

[Anonymous], 1980, WEIGHTED SOBOLEV SPA

[6]

[Anonymous], 1968, Inst. Hautes Etudes Sci. Publ. Math.

[7]

[Anonymous], 2000, P AN GEOM

[8]

[Anonymous], 1986, Multipliers in Spaces of Differentiable Functions

[9]

Chernikov VM., 1996, SIBERIAN ADV MATH, V6, P64

[10]

David G., 1990, Lecture Notes in Pure and Appl. Math., V122, P101

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