Self-improving properties of discrete Muckenhoupt weights-Reference-Cited by-同舟云学术

Self-improving properties of discrete Muckenhoupt weights

Published:2021-07-01 Issue:3 Volume:41 Page:169-178
ISSN:2196-6753
Container-title:Analysis
language:en
Short-container-title:

Author:

Saker Samir H.¹,O’Regan Donal²,Agarwal Ravi P.³

Affiliation:

1. Mathematics Division , FacultyScience , Galala University , Galala New City ; and Department of Mathematics, Faculty of Science, Mansoura University, Mansoura , Egypt

2. School of Mathematics, Statistics and Applied Mathematics , National University of Ireland , Galway , Ireland

3. Department of Mathematics , Texas A & M University – Kingsville , Texas, 78363 , USA

Abstract

Abstract In this paper, we will provide a complete study of the self-improving properties of the discrete Muckenhoupt class 𝒜 p ⁢ ( 𝒞 )

{\mathcal{A}^{p}(\mathcal{C})}

of weights defined on ℤ +

{\mathbb{Z}_{+}}

. In addition, we will determine the range of the new constants which are related to the original constants via an algebraic equation. For illustration, we will give an example to prove that the results are sharp. The results will be obtained by employing a discrete version of an inequality due to Hardy–Littlewood and a new discrete Hardy-type inequality with negative powers.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anly-2020-0052/pdf

Reference23 articles.

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