Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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

Pham Viet Hai , Le Hai Khoi

pp. 531-537

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.