Weighted composition operator on the Fock space

Ueki, Sei-ichiro

doi:10.1090/S0002-9939-06-08605-9

Weighted composition operator on the Fock space
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by Sei-ichiro Ueki PDF

Proc. Amer. Math. Soc. 135 (2007), 1405-1410 Request permission

Erratum: Proc. Amer. Math. Soc. 135 (2007), 3403-3403.

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.

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