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Indexed by:期刊论文

Date of Publication:2013-03-01

Journal:BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

Included Journals:SCIE、Scopus

Volume:50

Issue:2

Page Number:687-696

ISSN No.: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.