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

Authors
Yu, Tao Wu, Shi Yue
Citation
Yu, Tao et Wu, Shi Yue, Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space, Acta mathematica Sinica. English series (Print) , 25(2), 2009, pp. 245-252
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
2
Year of publication
2009
Pages
245 - 252
Database
ACNP
SICI code
Abstract
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.