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Commuting dual Toeplitz operators on weighted Bergman spaces of the unit ball

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-09-01

Journal: ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals: SCIE、Scopus、ISTIC

Volume: 27

Issue: 9

Page Number: 1725-1742

ISSN: 1439-8516

Key Words: Dual Toeplitz operator; unit ball; weighted Bergman space; commutativity

Abstract: In this paper, we study the commutativity of dual Toeplitz operators on weighted Bergman spaces of the unit ball. We obtain the necessary and sufficient conditions for the commutativity, essential commutativity and essential semi-commutativity of dual Toeplitz operator on the weighted Bergman spaces of the unit ball.

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