New characterizations of weights on dynamic inequalities involving a Hardy operator

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...

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Bibliographic Details
Published in:Journal of inequalities and applications 2021-04, Vol.2021 (1), p.1-24, Article 73
Main Authors: Saker, S. H., Alzabut, J., Saied, A. I., O’Regan, D.
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Hardy type inequality
Hardy’s operator
Inequalities
Mathematics
Mathematics and Statistics
Time scales
Weighted functions
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Summary: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 .
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-021-02606-x