Small Hankel operators on generalized weighted Fock spaces

Abstract

In this work we characterize the boundedness, compactness and membership in the Schatten class of small Hankel operators on generalized weighted Fock spaces $F^{p,\ell}_\alpha(\omega)$ associated to an $\mathcal{A}^\ell_p$ weight $\omega$, for $1<p<\infty$, $\ell\ge1$, and $\alpha>0$.