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Weighted composition operator on the Fock space |
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| Authors: | Sei-ichiro Ueki |
| Institution: | Department of Mathematics, Nippon Institute of Technology, Miyashiro, Saitama 345-8501, Japan |
| Abstract: | We characterize the boundedness and compactness of a weighted composition operator on the Fock space. Our results use a certain integral transform. We also estimate the essential norm of a weighted compositon operator. The result could be extended to the higher-dimensional case. |
| Keywords: | Weighted composition operators Fock space entire function |
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