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.

引用

页码：227 / 242

页数：16

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