Commuting Toeplitz Operators on the Hardy Space of the Polydisk

Commuting Toeplitz Operators on the Hardy Space of the Polydisk

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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.

作者 Ling Hui KONG Yu Feng LU

机构地区 School of Mathematical Sciences

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 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)

关键词 Commuting Toeplitz operators Hardy space POLYDISK Berezin transform Commuting Toeplitz operators, Hardy space, polydisk, Berezin transform

分类号 O177 [理学—基础数学]

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1Yu Feng LU Shu Xia SHANG.Commuting Dual Toeplitz Operators on the Polydisk[J].Acta Mathematica Sinica,English Series,2007,23(5):857-868. 被引量：8
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Acta Mathematica Sinica,English Series

2015年第4期

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Commuting Toeplitz Operators on the Hardy Space of the Polydisk

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