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Indexed by:期刊论文

Date of Publication:2010-07-01

Journal:JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN

Included Journals:SCIE、Scopus

Volume:62

Issue:3

Page Number:745-765

ISSN No.:0025-5645

Key Words:weighted Bergman space; bidisk; invariant subspace; reducing subspace

Abstract:In this paper, we study the invariant subspace and reducing subspace of the weighted Bergman space over bidisk. The minimal reducing subspace of Toeplitz operator T-zN = T-z1Nz2N is completely described, and Beurling-type theorem of some invariant subspace of the weighted Bergman space over bidisk is also obtained.