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Date of Publication:2016-01-01

Journal:数学年刊A辑 中文版

Volume:37

Issue:3

Page Number:311-328

ISSN No.:1000-8314

Abstract:In this paper, the authors describe the reducing subspaces of Toeplitz
   operators T_(z_1~N) (or T_(z_2~N)) and T_(z_1~Nz_2~N) on the weighted
   Dirichlet space of the bidisk D_a(D~2). They show that the structure of
   the reducing subspaces of T_(z_1~N) (or T_(z_2~N)) is independent of the
   weight alpha, while for T_(z_1~Nz_2~N) the situation is different.

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