Hilbert-type operators acting between weighted Fock spaces

TL;DR

This paper introduces new Hilbert-type operators between weighted Fock spaces, providing conditions for their boundedness and compactness, advancing understanding of operator behavior in complex analysis.

Contribution

It presents novel Hilbert-type operators and characterizes their boundedness and compactness between weighted Fock spaces.

Findings

Established necessary and sufficient conditions for boundedness.

Derived criteria for compactness of the operators.

Enhanced understanding of operator behavior in weighted Fock spaces.

Abstract

In this paper we introduce and study several new Hilbert-type operators acting between the weighted Fock spaces. We provide some sufficient and necessary conditions for the boundedness and compactness of certain Hilbert-type operators from one weighted Fock space to another.