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Indexed by:Journal Papers

Date of Publication:2009-05-01

Journal:CHINESE ANNALS OF MATHEMATICS SERIES B

Included Journals:ISTIC、SCIE

Volume:30

Issue:3

Page Number:293-310

ISSN No.:0252-9599

Key Words:Weighted Bergman space; Unit ball; Toeplitz operator; Hankel operator; Berezin transform

Abstract:The authors give some new necessary conditions for the boundedness of Toeplitz products (TfT(g) over bar alpha)-T-alpha on the weighted Bergman space A(alpha)(2) of the unit ball, where f and g are analytic on the unit ball. Hankel products HfHg* on the weighted Bergman space of the unit ball are studied, and the results analogous to those Stroethoff and Zheng obtained in the setting of unit disk are proved.