多圆盘上的交换对偶Toeplitz算子

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 63-68.

多圆盘上的交换对偶Toeplitz算子

Department of Mathematics,Zhejiang Normal University

收稿日期:2005-10-13 出版日期:2009-03-30 发布日期:2023-09-07
作者简介: CHENG Guo-zheng(1982- ), male, native of Wenlin, Zhejiang, Ph.D., engages in operator theory; YU Tao(1967- ), male, native of Fushun, Liaoning, a professor of Zhejiang Normal University, Ph.D., engages in operator theory.
基金资助:
Supported by the Science Foundation of Zhejiang Education Hall(20040850)；

Commuting Dual Toeplitz Operators on the Polydisk

Department of Mathematics,Zhejiang Normal University

Received:2005-10-13 Online:2009-03-30 Published:2023-09-07
About author: CHENG Guo-zheng(1982- ), male, native of Wenlin, Zhejiang, Ph.D., engages in operator theory; YU Tao(1967- ), male, native of Fushun, Liaoning, a professor of Zhejiang Normal University, Ph.D., engages in operator theory.
Supported by:
Supported by the Science Foundation of Zhejiang Education Hall(20040850)；

摘要/Abstract

摘要： We completely characterize commutativity of S and Sψ on L_a²(Dⁿ)⊥ for bounded pluriharmonic symbols and ψ on D_n, and prove that SS_ψ = S_ψ if and only if is analytic or ψˉ is analytic.

关键词: Bergman space, dual Toeplitz operator, pluriharmonic

Abstract: We completely characterize commutativity of S and Sψ on L_a²(Dⁿ)⊥ for bounded pluriharmonic symbols and ψ on D_n, and prove that SS_ψ = S_ψ if and only if is analytic or ψˉ is analytic.

Key words: Bergman space, dual Toeplitz operator, pluriharmonic

中图分类号:

O177.1

程国正, 于涛 . 多圆盘上的交换对偶Toeplitz算子[J]. 数学季刊, 2009, 24(1): 63-68.

CHENG Guo-zheng, YU Tao. Commuting Dual Toeplitz Operators on the Polydisk [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 63-68.

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