Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk

被引：31
|
作者：
Lu, Yufeng [1 ]
Zhou, Xiaoyang [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2010年 / 62卷 / 03期
关键词：
weighted Bergman space; bidisk; invariant subspace; reducing subspace; OPERATORS;
D O I：
10.2969/jmsj/06230745
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：745 / 765
页数：21
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