Hilbert-type operators acting between weighted Fock spaces
Functional Analysis
2022-10-04 v5 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2205.05210,
title = {Hilbert-type operators acting between weighted Fock spaces},
author = {Jianjun Jin and Shuan Tang and Xiaogao Feng},
journal= {arXiv preprint arXiv:2205.05210},
year = {2022}
}