Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet spacer

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 r...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2009-02, Vol.25 (2), p.245
Main Authors: Yu, Tao, Wu, Shi Yue
Format: Article
Language:English
Subjects:
Commuting
Dirichlet problem
Hilbert space
Studies
Online Access:Get full text
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Summary: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.[PUBLICATION ABSTRACT]
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-008-7109-0