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

Abstract In this paper, we prove some basic properties of the discrete Muckenhoupt class A p $\mathcal{A}^{p}$ and the discrete Gehring class G q $\mathcal{G}^{q}$ . These properties involve the self-improving properties and the fundamental transitions and inclusions relations between the two classe...

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Main Authors:	S. H. Saker, S. S. Rabie, Jehad Alzabut, D. O’Regan, R. P. Agarwal
Format:	Article
Language:	English
Published:	SpringerOpen 2021-01-01
Series:	Advances in Difference Equations
Subjects:	Discrete Gehring’s class Discrete Muchenhoupt’s class Self-improving properties
Online Access:	https://doi.org/10.1186/s13662-020-03105-x

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spelling	doaj-4cca0b7560854c03a3005e9c6c6508e62021-01-10T12:52:41ZengSpringerOpenAdvances in Difference Equations1687-18472021-01-012021112210.1186/s13662-020-03105-xSome basic properties and fundamental relations for discrete Muckenhoupt and Gehring classesS. H. Saker0S. S. Rabie1Jehad Alzabut2D. O’Regan3R. P. Agarwal4Mathematics Division, Faculty of Advanced Basic Sciences, Galala UniversityDepartment of Mathematics, Faculty of Science, Mansoura UniversityDepartment of Mathematics and General Sciences, Prince Sultan UniversitySchool of Mathematics, Statistics and Applied Mathematics, National University of IrelandDepartment of Mathematics, Texas A & M University-KingsvilleAbstract In this paper, we prove some basic properties of the discrete Muckenhoupt class A p $\mathcal{A}^{p}$ and the discrete Gehring class G q $\mathcal{G}^{q}$ . These properties involve the self-improving properties and the fundamental transitions and inclusions relations between the two classes.https://doi.org/10.1186/s13662-020-03105-xDiscrete Gehring’s classDiscrete Muchenhoupt’s classSelf-improving properties
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	S. H. Saker S. S. Rabie Jehad Alzabut D. O’Regan R. P. Agarwal
spellingShingle	S. H. Saker S. S. Rabie Jehad Alzabut D. O’Regan R. P. Agarwal Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes Advances in Difference Equations Discrete Gehring’s class Discrete Muchenhoupt’s class Self-improving properties
author_facet	S. H. Saker S. S. Rabie Jehad Alzabut D. O’Regan R. P. Agarwal
author_sort	S. H. Saker
title	Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes
title_short	Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes
title_full	Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes
title_fullStr	Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes
title_full_unstemmed	Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes
title_sort	some basic properties and fundamental relations for discrete muckenhoupt and gehring classes
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2021-01-01
description	Abstract In this paper, we prove some basic properties of the discrete Muckenhoupt class A p $\mathcal{A}^{p}$ and the discrete Gehring class G q $\mathcal{G}^{q}$ . These properties involve the self-improving properties and the fundamental transitions and inclusions relations between the two classes.
topic	Discrete Gehring’s class Discrete Muchenhoupt’s class Self-improving properties
url	https://doi.org/10.1186/s13662-020-03105-x
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Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes

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