New characterizations of weights on dynamic inequalities involving a Hardy operator

S. H. Saker; J. Alzabut; A. I. Saied; D. O’Regan

doi:10.1186/s13660-021-02606-x

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New characterizations of weights on dynamic inequalities involving a Hardy operator

Journal article

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Peer reviewed

New characterizations of weights on dynamic inequalities involving a Hardy operator

S. H. Saker, J. Alzabut, A. I. Saied and D. O’Regan

Journal of inequalities and applications, Vol.2021(1), pp.1-24

23/04/2021

DOI: https://doi.org/10.1186/s13660-021-02606-x

Abstract

Analysis

Applications of Mathematics

general

Mathematics

Mathematics and Statistics

In this paper, we establish some new characterizations of weighted functions of dynamic inequalities containing a Hardy operator on time scales. These inequalities contain the characterization of Ariňo and Muckenhoupt when T = R , whereas they contain the characterizations of Bennett–Erdmann and Gao when T = N .

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Title: New characterizations of weights on dynamic inequalities involving a Hardy operator
Creators - without role: S. H. Saker - Mansoura University
J. Alzabut - Prince Sultan University
A. I. Saied - Benha University
D. O’Regan - National University of Ireland
Publication Details: Journal of inequalities and applications, Vol.2021(1), pp.1-24
Publisher: Springer International Publishing
Identifiers: 9927152108331
Academic Unit: Prince Sultan University
Language: English
Resource Type: Journal article