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Generalized Hilbert operators acting on weighted sequence spaces

Published 28 Apr 2025 in math.CA and math.FA | (2504.19743v3)

Abstract: In this paper we introduce and study a new kind of generalized Hilbert operators, induced by a finite positive 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].

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