The Role of BMOA in the Boundedness of Weighted Composition Operators on the Unit Ball  

作　　者：Chao ZHANG Guang Fu CAO 

机构地区：[1]College of Mathematics and Information Sciences,Guangzhou University

出　　处：《Acta Mathematica Sinica,English Series》2014年第2期323-330,共8页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.10971040)

摘　　要：We study the weighted composition operators Wh,on Hardy space H2（B） whenever h ∈ BMOA（resp.h ∈ VMOA）.Analogous results are given for Hp（B） spaces and the scale of weighted Bergman spaces.In the latter case,BMOA is replaced by the Bloch space（resp.VMOA by the little Bloch space）.We study the weighted composition operators Wh,on Hardy space H2（B） whenever h ∈ BMOA（resp.h ∈ VMOA）.Analogous results are given for Hp（B） spaces and the scale of weighted Bergman spaces.In the latter case,BMOA is replaced by the Bloch space（resp.VMOA by the little Bloch space）.

关 键 词：Weighted composition operator BOUNDEDNESS COMPACTNESS BMOA VMOA 

分 类 号：O177[理学—数学]