Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-03-01

Journal: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

Included Journals: Scopus、SCIE

Volume: 50

Issue: 2

Page Number: 687-696

ISSN: 1015-8634

Key Words: Toeplitz operator; reducing subspace; Bergman space

Abstract: In this note, we completely characterize the reducing subspaces of Tz1Nz2M on A(alpha)(2)(D-2) where alpha > -1 and N, M are positive integers with N not equal M, and show that the minimal reducing subspaces of Tz1Nz2M on the unweighted Bergman space and on the weighted Bergman space are different.