REDUCING SUBSPACES FOR TOEPLITZ OPERATORS ON THE POLYDISK

被引：28

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.

引用

页码：687 / 696

页数：10

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