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Reducing Subspace of Analytic Toeplitz Operators on the Bergman Space |
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| Authors: | |
| Institution: | (1) Institute of Mathematics, Jiaxing University, Jiaxing, Zhejiang, 314001, P.R. China;(2) Department of Mathematics, Xiangtan University, Xiangtan, Hunan, 411105, P.R. China;(3) Department of Mathematics, Sichuan University, Chengdu, 610064, P.R. China;(4) Institute of Mathematics, Fudan University, Shanghai,, 200433, P.R. China |
| Abstract: | 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 |
| Keywords: | 46Lxx |
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