Release Time:2019-03-09  Hits:

Indexed by: Journal Papers

Date of Publication: 2009-05-01

Journal: CHINESE ANNALS OF MATHEMATICS SERIES B

Included Journals: SCIE、ISTIC

Volume: 30

Issue: 3

Page Number: 293-310

ISSN: 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.