Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-07-01

Journal: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN

Included Journals: Scopus、SCIE

Volume: 62

Issue: 3

Page Number: 745-765

ISSN: 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.