Release Time:2022-06-30  Hits:

Date of Publication: 2004-01-01

Journal: Advances in Mathematics

Volume: 33

Issue: 6

Page Number: 739-749

ISSN: 1000-0917

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

CN: 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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