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Commuting Dual Toeplitz Operators on the Orthogonal Complement of the Dirichlet Space 被引量:15

Commuting Dual Toeplitz Operators on the Orthogonal Complement of the Dirichlet Space
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摘要 In this paper we characterize commuting dual Toeplitz operators with harmonic symbols on the orthogonal complement of the Dirichlet space in the Sobolev space. We also obtain the sufficient and necessary conditions for the product of two dual Toeplitz operators with harmonic symbols to be a finite rank perturbation of a dual Toeplitz operator. In this paper we characterize commuting dual Toeplitz operators with harmonic symbols on the orthogonal complement of the Dirichlet space in the Sobolev space. We also obtain the sufficient and necessary conditions for the product of two dual Toeplitz operators with harmonic symbols to be a finite rank perturbation of a dual Toeplitz operator.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第2期245-252,共8页 数学学报(英文版)
基金 supported by NNFSC (No.10771064)
关键词 Sobolev space Dirichlet space dual Toeplitz operator Sobolev space, Dirichlet space, dual Toeplitz operator
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