Bounded Hankel products on Fock-Sobolev spaces

Abstract

Let F2,m denote the Fock-Sobolev space of complex plane. The purpose of this paper is to study the conjecture which was shown to be false for Fock space by Ma-Yan-Zheng-Zhu in 2019. For the certain symbol space, the main result of the paper says that the conjecture is actually true in F2,m if m is a positive integer.

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