Weighted Composition Operators on Some Weighted Spaces in the Unit Ball

Author:

Fu Xiaohong1,Zhu Xiangling1

Affiliation:

1. Department of Mathematics, Jiaying University Guangdong, Meizhou 514015, China

Abstract

LetBnbe the unit ball ofCn,H(Bn)the space of all holomorphic functions inBn. LetuH(Bn)andαbe a holomorphic self-map ofBn. ForfH(Bn), the weigthed composition operatoruCαis defined by(uCαf)(z)=u(z)f(α(z)),zBn.The boundedness and compactness of the weighted composition operator on some weighted spaces on the unit ball are studied in this paper.

Funder

Natural Science Foundation of Guangdong Province

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

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