REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK

被引：13

作者：

Albaseer, Mohammed ^{[1
]}

Lu, Yufeng ^{[1
]}

Shi, Yanyue ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 52卷 / 05期

基金：

高等学校博士学科点专项科研基金;

关键词：

reducing subspace; Toeplitz operator; polydisk; MULTIPLICATION OPERATORS; HARDY SPACE;

D O I：

10.4134/BKMS.2015.52.5.1649

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator 17(Z1)N (z) over bar (2) M on the Bergman space A(2)(ID2), where N and M are positive integers.

引用

页码：1649 / 1660

页数：12

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