Commuting Toeplitz Operators on the Hardy Space of the Polydisk  

作　　者：Ling Hui KONG Yu Feng LU 

机构地区：[1]School of Mathematical Sciences, Dalian University of Technology

出　　处：《Acta Mathematica Sinica,English Series》2015年第4期695-702,共8页数学学报（英文版）

基　　金：Supported by NSFC(Grant No.11271059)

摘　　要：In this paper, we show that two Toeplitz operators Tf and Tg on the Hardy space of the polydisk can commute if and only if the Berezin transform of the commutator [Tf, Tg] is n-harmonic.In this paper, we show that two Toeplitz operators Tf and Tg on the Hardy space of the polydisk can commute if and only if the Berezin transform of the commutator [Tf, Tg] is n-harmonic.

关 键 词：Commuting Toeplitz operators Hardy space POLYDISK Berezin transform 

分 类 号：O177[理学—数学]