Reducing Subspace of Analytic Toeplitz Operators on the Bergman Space

被引：0
|
作者：
Junyun Hu
Shunhua Sun
Xianmin Xu
Dahai Yu
机构：
[1] Jiaxing University,Institute of Mathematics
[2] Xiangtan University,Department of Mathematics
[3] Sichuan University,Department of Mathematics
[4] Fudan University,Institute of Mathematics
来源：
Integral Equations and Operator Theory | 2004年 / 49卷
关键词：
46Lxx; Super-isometric dilation; Reducing subspace; Bergman shift; Toeplitz operator;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we prove that the analytic Toeplitz operator with finite Blaschke product symbol on the Bergman space has at least a reducing subspace on which the restriction of the associated Toeplitz operator is unitary equivalent to the Bergman shift
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页码：387 / 395
页数：8
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