Weighted composition operators on Orlicz-Sobolev spaces

被引：0

作者：

Arora, Subhash C. ^{[1
]}

Datt, Gopal ^{[2
]}

Verma, Satish ^{[1
]}

机构：

[1] Univ Delhi, Dept Math, SGTB Khalsa Coll, Delhi 110007, India

[2] Univ Delhi, PGDAV Coll, Dept Math, Delhi 110065, India

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2007年 / 83卷

关键词：

D O I：

10.1017/S1446788700037952

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an open subset P of the Euclidean space R", a measurable non-singular transformation T : Omega -> Omega and a real-valued measurable function u on R", we study the weighted composition operator uC(T) : f bar right arrow u . (f circle T) on the Orlicz-Sobolev space W-1,W-psi(Omega) consisting of those functions of the Orlicz space L-psi (Omega) whose distributional derivatives of the first order belong to L-psi (Omega). We also discuss a sufficient condition under which uC(T) is compact.

引用

页码：327 / 334

页数：8

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