Commuting Toeplitz operators on the hardy space of the polydisk

被引：1
|
作者：
Kong, Ling Hui [1 ,2 ]
Lu, Yu Feng [1 ,2 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2015年 / 31卷 / 04期
关键词：
Commuting Toeplitz operators; Hardy space; polydisk; Berezin transform; HARMONIC BERGMAN SPACE; PLURIHARMONIC SYMBOLS; PRODUCTS; BIDISK;
D O I：
10.1007/s10114-015-4174-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show that two Toeplitz operators T (f) and T (g) on the Hardy space of the polydisk can commute if and only if the Berezin transform of the commutator [T (f) , T (g) ] is n-harmonic.
引用
收藏
页码：695 / 702
页数：8
相关论文
共 50 条
12345