Weighted composition operators on Orlicz-Sobolev spaces

Journal of the Australian Mathematical Society

Subhash C. Arora¹ 

[1] Gopal Datt

关键词: primary 47B33;    47B38;    secondary 46E30;    46E35;   

DOI  :  10.1017/S1446788700037952

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

For an open subset Ω of the Euclidean space Rn, a measurable non-singular transformation T: Ω → Ω and a real-valued measurable function u on Rn, we study the weighted composition operator uCτ: f ↦ u · (f º T) on the Orlicz-Sobolev space W1·Ψ (Ω) consxsisting of those functions of the Orlicz space LΨ (Ω) whose distributional derivatives of the first order belong to LΨ (Ω). We also discuss a sufficient condition under which uCτ is compact.

【 授权许可】

Unknown