Weighted Composition Operators between Bergman-Type Spaces  

作　　者：LIU Jing Cheng ZHANG Xue Jun LI du Xiang 

机构地区：[1]College of Mathematics and Computer Science, Hunan Normal University, Hunan 410081, China

出　　处：《Journal of Mathematical Research and Exposition》2009年第5期848-856,共9页数学研究与评论（英文版）

基　　金：Foundation item： the National Natural Science Foundation of China （No. 10571049）; the Natural Foundation of Hunan Province （No. 06J J50010）.

摘　　要：Let g1,g2 be normal functions. For all 0 〈 p,q 〈 ∞, the necessary and sufficient conditions for weighted composition operators Tψ,φ ： A^Pg1 → A^Pg2 to be bounded or compact between Bergman type spaces on the unit ball of C^n are given.Let g1,g2 be normal functions. For all 0 〈 p,q 〈 ∞, the necessary and sufficient conditions for weighted composition operators Tψ,φ ： A^Pg1 → A^Pg2 to be bounded or compact between Bergman type spaces on the unit ball of C^n are given.

关 键 词：weighted composition operator BOUNDEDNESS COMPACTNESS Bergman type spaces. 

分 类 号：O178[理学—数学] TU238.2[理学—基础数学]