Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2009-05-01

Journal: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY

Included Journals: Scopus、SCIE

Volume: 46

Issue: 3

Page Number: 621-642

ISSN: 0304-9914

Key Words: weighted Bergman space; Toeplitz operator; Mellin transform; commutativity; hyponormality

Abstract: In this paper we give necessary and sufficient conditions that two Toeplitz operators with monomial symbols acting on the weighted Bergman space commute. We also present necessary and sufficient conditions for the hyponormality of Toeplitz operators with some special symbols on the weighted Bergman space. All the results are stated in terms of the Mellin transform of the symbol.