Dirichlet空间直交补上对偶Toeplitz算子的交换性

J4 ›› 2011, Vol. 49 ›› Issue (02): 213-217.

Dirichlet空间直交补上对偶Toeplitz算子的交换性

王芳¹, 邓燕²

1. 西南财经大学统计学院, 成都 611130|2. 嘉兴学院数理与信息工程学院, 浙江嘉兴 314001

收稿日期:2010-10-25 出版日期:2011-03-26 发布日期:2011-06-14
通讯作者: 王芳 E-mail:wangfang750@gmail.com

Commuting Dual Toeplitz Operators on Orthogonal Complement of |Dirichlet Space

WANG Fang^1, DENG Yan^2

1. School of Statistics, Southwestern University of Finace and Economics, Chengdu 611130, China|2. College ofMathematics Physics and Information Engineering, |Jiaxing University, Jiaxing 314001, Zhejiang Province, China

Received:2010-10-25 Online:2011-03-26 Published:2011-06-14
Contact: WANG Fang E-mail:wangfang750@gmail.com

摘要/Abstract

摘要：

在单位球Sobolev空间中, 研究Dirichlet空间直交补上多重调和符号的对偶Toeplitz算子, 刻画了它的交换性, 并且给出了两个多重调和符号对偶Toeplitz算子乘积为对偶Toeplitz算子的充分必要条件.

关键词: Sobolev空间, Dirichlet空间, 对偶Toeplitz算子, 交换性

Abstract:

We characterized commuting dual Toeplitz operators with pluriharmonic symbols on the orthogonal complement of Dirichlet space in Sobolev space on the unit ball. We also obtained the sufficient and necessary condition, that is, the product of two dual Toeplitz operators with pluriharmonic symbols for a dual Toeplitz operator.

Key words: Sobolev space, Dirichlet space, dual Toeplitz operator, commutativity

中图分类号:

O177.6

王芳, 邓燕. Dirichlet空间直交补上对偶Toeplitz算子的交换性[J]. J4, 2011, 49(02): 213-217.

WANG Fang, DENG Yan. Commuting Dual Toeplitz Operators on Orthogonal Complement of |Dirichlet Space[J]. J4, 2011, 49(02): 213-217.

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