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Date of Publication:2004-01-01

Journal:Advances in Mathematics

Volume:33

Issue:6

Page Number:739-749

ISSN No.:1000-0917

Key Words:"weighted Bergman space; Toeplitz operator; commutator; harmonic function"

CN No.:11-2312/O1

Abstract:In this paper, we give a condition for harmonic functions in the unit disk by invariant weighted area-mean-value property. Then we investigate the commutators of Toeplitz operators on the weighted Bergman spaces Ap (psi), characterize the bounded harmonic functions u and v on the unit disk for which the Toeplitz operators Tu and Tu are commuting or essentially commuting.

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