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oundedness and Compactness of Weighted Composition Operators on Fock Spaces $F^{p} (C)$

Pham Viet Hai , $icon-email$ Le Hai Khoi

Abstract

In this paper, we study weighted composition operators on the Fock spaces which are non-Hilbert spaces. Criteria for boundedness and compactness of such operators are obtained. Our results contain the corresponding results for Fock spaces which are Hilbert ones, as particular cases.

Acta Mathematica Vietnamica

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oundedness and Compactness of Weighted Composition Operators on Fock Spaces Fp(C)

Abstract

oundedness and Compactness of Weighted Composition Operators on Fock Spaces $F^{p} (C)$