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
收藏
页码：327 / 334
页数：8
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