典型文献
Weighted Composition Operators between Bergman Spaces with Exponential Weights
文献摘要：
In this paper, we study some properties of weighted composition operators on a class of weighted Bergman spaces Ap? with 0 ＜ p ≤ ∞ and ? ∈ W0 . Also, we completely characterize the q-Carleson measure for Ap? in terms of the averaging function and the generalized Berezin transform with 0＜q＜∞. As applications, the boundedness and compactness of weighted composition operators acting from one Bergman space Ap? to another Aq? are equivalently described and the Schatten class property of the weighted composition operator acting on A2? are given. Our main results are expressed in terms of certain Berezin type integral transforms.
文献关键词：
中图分类号：
作者姓名：
Guang Fu CAO;Li HE;Yi Yuan ZHANG
作者机构：
School of Mathematics and Information Science, Guangzhou University,Guangzhou 510006, P. R. China
文献出处：
引用格式：
[1]Guang Fu CAO;Li HE;Yi Yuan ZHANG-.Weighted Composition Operators between Bergman Spaces with Exponential Weights)[J].数学学报（英文版）,2022(12):2231-2252
A类：
Berezin
B类：
Weighted,Composition,Operators,between,Bergman,Spaces,Exponential,Weights,In,this,paper,study,some,properties,weighted,composition,operators,class,spaces,Ap,W0,Also,completely,characterize,Carleson,measure,terms,averaging,function,generalized,applications,boundedness,compactness,acting,from,another,Aq,are,equivalently,described,Schatten,property,A2,given,Our,main,results,expressed,certain,type,integral,transforms
AB值：
0.608748
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