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arXiv · 2312.06656

Schatten class Hankel operators on doubling Fock spaces and the Berger-Coburn phenomenon

Ghazaleh Asghari·Jani A. Virtanen·Zhangjian Hu
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Abstract

Using the notion of integral distance to analytic functions, we give a characterization of Schatten class Hankel operators acting on doubling Fock spaces on the complex plane and use it to show that for $f\in L^{\infty}$, if $H_{f}$ is Hilbert-Schmidt, then so is $H_{\bar{f}}$. This property is known as the Berger-Coburn phenomenon. When $0 0$.

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Ghazaleh Asghari, Jani A. Virtanen, Zhangjian Hu. 2023-12-11. Schatten class Hankel operators on doubling Fock spaces and the Berger-Coburn phenomenon. https://arxiv.org/abs/2312.06656

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