On the Hilbert-type operators acting from function spaces into sequence spaces
Functional Analysis
2023-12-27 v4
Abstract
In this paper we introduce and study some Hilbert-type operators acting from the function spaces into the sequence spaces. We give some sufficient and necessary conditions for the boundedness and compactness of these Hilbert-type operators. Also, for some special cases, we obtain the sharp estimates for the norms of certain Hilbert-type operators.
Cite
@article{arxiv.2206.07265,
title = {On the Hilbert-type operators acting from function spaces into sequence spaces},
author = {Jianjun Jin},
journal= {arXiv preprint arXiv:2206.07265},
year = {2023}
}
Comments
Rocky Mountain Journal of Mathematics, to appear