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

2023/12/11 by Ghazaleh Asghari, Jani A. Virtanen, Asghari, Ghazaleh +3 · 1 citation
Mathematics · #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2312.06656

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∈ L^∞, if H_f is Hilbert-Schmidt, then so is H_f. This property is known as the Berger-Coburn phenomenon. When 00.

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