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Research Article | Open Access

Sharp weak bounds for discrete Hardy operator on discrete central Morrey spaces

Mingquan Wei( ), Xiaoyu Liu
School of Mathematics and Stastics, Xinyang Normal University, Xinyang, Henan 464000, China
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Abstract

In this note, we introduce the discrete (weak) central Morrey spaces, which are central versions of discrete (weak) Morrey spaces. The sharp bounds for discrete Hardy operator from discrete central Morrey spaces to discrete weak central Morrey spaces are proven to be equal to 1. As an application, we obtain the weak version of the well-known discrete Hardy inequality.

Keywords

discrete Hardy operatorsharp bounddiscrete central Morrey spacediscrete Lebesgue space
CLC number: 42B20, 42B25, 42B35

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 5007-5015
DOI: 10.3934/math.2023250

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Cite this article:
Wei M, Liu X. Sharp weak bounds for discrete Hardy operator on discrete central Morrey spaces. AIMS Mathematics, 2023, 8(2): 5007-5015. https://doi.org/10.3934/math.2023250

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Received: 09 September 2022
Revised: 19 November 2022
Accepted: 01 December 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)