Composition Operators on the Weighted Bergman Space in the Unit Polydisk  

作　　者：HU Rong HU Peng-yan 

机构地区：[1]College of Mathematics and Finance-Economics, Sichuan University of Arts and Science, Dazhou635000, China [2]College o] Mathematics and Computational Science, Shenzhen University, Shenzhen518060, China

出　　处：《Chinese Quarterly Journal of Mathematics》2014年第1期9-13,共5页数学季刊（英文版）

基　　金：Supported by the Scientific Research Fund of Sichuan Provincial Education Department(13ZB0101)

摘　　要：We consider the boundedness of composition operators on the Bergman space,and shows that when it is induced by automorphism is always bounded.At first we got a change of variables formula,which is very important for the proof of the boundedness of composition operators,and then obtain an upper bound for the special operator norm on Bergman space.We consider the boundedness of composition operators on the Bergman space, and shows that when it is induced by automorphism is always bounded. At first we got a change of variables formula, which is very important for the proof of the boundedness of composition operators, and then obtain an upper bound for the special operator norm on Bergman space.

关 键 词：bergman space POLYDISK composition operators AUTOMORPHISM 

分 类 号：O174.56[理学—数学]