## 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.