Abstract
Let $f$ and $g$ be functions in Fock-Sobolev spaces $F_{-\alpha}^2$ of negative orders. In this paper we give a complete characterization of the boundedness and compactness of the mixed product $H_{\overline{f}}T_{\overline{g}}$ from $F_{-\alpha}^2$ to $L^2(\mathbb{C},d\widehat{\mu}_{-\alpha})$.
Citation
Chunxu Xu. "Mixed product of Hankel and Toeplitz operators on Fock-Sobolev spaces of negative orders." Bull. Belg. Math. Soc. Simon Stevin 31 (1) 123 - 138, april 2024. https://doi.org/10.36045/j.bbms.240113
Information