REDUCING SUBSPACES FOR TOEPLITZ OPERATORS ON THE POLYDISK

被引：29
|
作者：
Shi, Yanyue [1 ]
Lu, Yufeng [2 ]
机构：
[1] Ocean Univ China, Coll Math Sci, Qingdao 266100, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 02期
关键词：
Toeplitz operator; reducing subspace; Bergman space; BERGMAN SPACE; MULTIPLICATION OPERATORS;
D O I：
10.4134/BKMS.2013.50.2.687
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we completely characterize the reducing subspaces of Tz1Nz2M on A(alpha)(2)(D-2) where alpha > -1 and N, M are positive integers with N not equal M, and show that the minimal reducing subspaces of Tz1Nz2M on the unweighted Bergman space and on the weighted Bergman space are different.
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页码：687 / 696
页数：10
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