Generalized Hilbert matrix operators acting on weighted sequence spaces
Abstract
Abstract In this paper, we introduce and study a new kind of generalized Hilbert matrix operators, induced by a positive finite Borel measure on left parenthesis 0 comma 1 right parenthesis $(0,1)$ ( 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. Lond. Math. Soc. 55(6) (2023), 2598–2610].
Fields of Study & Subjects
Approximation Theory and Sequence Spaces
Advanced Banach Space Theory
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Proceedings of the Edinburgh Mathematical Society
- Publisher
- Cambridge University Press (CUP)
- Pages
- 1–20
- Publication date
- 21 May 2026
- Language
- EN