Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes

In this paper, we prove some basic properties of the discrete Muckenhoupt class A p and the discrete Gehring class G q . These properties involve the self-improving properties and the fundamental transitions and inclusions relations between the two classes.

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Bibliographic Details
Published in:Advances in difference equations 2021-01, Vol.2021 (1), p.1-22, Article 8
Main Authors: Saker, S. H., Rabie, S. S., Alzabut, Jehad, O’Regan, D., Agarwal, R. P.
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Discrete Gehring’s class
Discrete Muchenhoupt’s class
Functional Analysis
Inclusions
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Properties (attributes)
Self-improving properties
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Description
Summary:In this paper, we prove some basic properties of the discrete Muckenhoupt class A p and the discrete Gehring class G q . These properties involve the self-improving properties and the fundamental transitions and inclusions relations between the two classes.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-03105-x