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Boundedness and Compactness of Operators on the Fock Space |
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| Authors: | Xiaofeng Wang Guangfu Cao Kehe Zhu |
| Affiliation: | 1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, Guangdong, China 2. Department of Mathematics and Statistics, State University of New York, Albany, NY, 12222, USA |
| Abstract: | We obtain sufficient conditions for a densely-defined operator on the Fock space to be bounded or compact. Under the boundedness condition we then characterize the compactness of the operator in terms of its Berezin transform. |
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