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arXiv · 2508.11882

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

Yi Liu·Yufeng Lu
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Abstract

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

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Yi Liu, Yufeng Lu. 2025-08-16. Essential norm and Schatten class of Hankel operators between weighted Fock spaces. https://arxiv.org/abs/2508.11882

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