Generalized Hilbert matrix operators acting on weighted sequence spaces
Classical Analysis and ODEs
2026-05-27 v5 Functional Analysis
Abstract
In this paper we introduce and study a new kind of generalized Hilbert matrix operators, induced by a positive finite Borel measure on (0,1), acting on weighted sequence spaces. We establish a sufficient and necessary condition for the boundedness of these operators. These results extend some related ones obtained recently in [Bull. London Math. Soc., 55 (2023), no. 6, 2598-2610].
Cite
@article{arxiv.2504.19743,
title = {Generalized Hilbert matrix operators acting on weighted sequence spaces},
author = {Jianjun Jin},
journal= {arXiv preprint arXiv:2504.19743},
year = {2026}
}
Comments
15 pages, accepted by Proceedings of the Edinburgh Mathematical Society