Essential norm and Schatten class of Hankel operators between weighted Fock spaces

Abstract

In this paper, we characterize the essential norm of Hankel operators from a weighted Fock space $F_{\phi }^p$ to a weighted Lebesgue space $L_{\phi }^q$ for all $1\le p,q<\infty$. Additionally, we characterize the Schatten-$h$ class membership for Hankel operators acting from $F_{\phi }^2$ to $L_{\phi }^2$, where the class is defined by a continuous increasing convex function $h$.