Beurling type theorem on the Bergman space via the Hardy space of the bidisk |
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| Authors: | ShunHua Sun DeChao Zheng |
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| Institution: | SUN ShunHua1 & ZHENG DeChao2 1 Institute of Mathematics,Jiaxing University,Jiaxing 314001,China 2 Department of Mathematics,V,erbilt University,Nashville,TN 37240,USA |
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| Abstract: | In this paper,by lifting the Bergman shift as the compression of an isometry on a subspace of the Hardy space of the bidisk,we give a proof of the Beurling type theorem on the Bergman space of Aleman,Richter and Sundberg(1996) via the Hardy space of the bidisk. |
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| Keywords: | Bergman space Bergman shift invariant subspaces Hardy space |
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