Generalized Hausdorff operators between weighted spaces

Kalaivani Kamalakkannan

doi:10.1216/rmj.2022.52.1683

Abstract

This paper is concerned with the characterization for boundedness of the generalized Hausdorff operator on weighted spaces of integrable functions. As corollaries, the description of the generalized Hausdorff operator on ${L_1}(w)$ is presented for different cases of $w$ . Finally, we conclude with the range of the operator.

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Kalaivani Kamalakkannan. "Generalized Hausdorff operators between weighted spaces." Rocky Mountain J. Math. 52 (5) 1683 - 1692, October 2022. https://doi.org/10.1216/rmj.2022.52.1683

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Received: 18 August 2021; Revised: 9 November 2021; Accepted: 12 January 2022; Published: October 2022

First available in Project Euclid: 28 November 2022

MathSciNet: MR4563742

zbMATH: 1515.47038

Digital Object Identifier: 10.1216/rmj.2022.52.1683

Subjects:

Primary: 47A30 , 47B38

Secondary: 44A15 , 47B34

Keywords: generalized Hardy–Cesàro operator , Hausdorff operator , weighted spaces

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