Work

Generalized Hilbert matrix operators acting on weighted sequence spaces

Year: 2026

Type: article

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].

Source: Proceedings of the Edinburgh Mathematical Society

DOI: 10.1017/s0013091526101412

Author: Jianjun Jin

Institution: Hefei University of Technology

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G6494511059