Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk

被引：3
|
作者：
Lin, HongZhao [1 ]
机构：
[1] Fujian Agr & Forestry Univ, Coll Comp & Informat Sci, Fuzhou, Fujian, Peoples R China
来源：
TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 01期
关键词：
Reducing subspace; Toeplitz operator; Dirichlet type spaces; bidisk; MULTIPLICATION OPERATORS; BERGMAN SPACE;
D O I：
10.3906/mat-1603-134
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The reducing subspaces of Toeplitz operators T-z1(N) (or T-z2(N)), T-z1(z2)N(N) and on T-z1(z2)N(M) Dirichlet type spaces of the bidisk D-alpha (D-2) are described, which extends the results for the corresponding operators on the Bergman space of the bidisk.
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页码：227 / 242
页数：16
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