Jianhui Hu, Songxiao Li, Dan Qu, Embedding derivatives of Fock spaces and generalized weighted composition operators

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DOI: 10.23952/jnva.5.2021.4.07

Volume 5, Issue 4, 1 August 2021, Pages 589-613

Abstract. In this paper, we give complete characterizations of those positive Borel measures such that the differentiation operator $D^{(n)}f = f^{(n)}$ is bounded or compact from Fock spaces $F^{p}(\mathbb C)$ into a class weighted Lebesgue spaces on complex plane $\mathbb{C}$ . As an application, we characterize the boundedness and compactness of generalized weighted composition operators acting on Fock spaces. We also study the essential norm of these operators on Fock spaces.

How to Cite this Article:
Jianhui Hu, Songxiao Li, Dan Qu, Embedding derivatives of Fock spaces and generalized weighted composition operators, J. Nonlinear Var. Anal. 5 (2021), 589-613.