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

S. H. Saker; S. S. Rabie; Jehad Alzabut; D. O’Regan; R. P. Agarwal

doi:10.1186/s13662-020-03105-x

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

S. H. Saker
, S. S. Rabie
, Jehad Alzabut
, D. O’Regan
, R. P. Agarwal

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

11 Citations (Scopus)

Abstract

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.

Original language	English
Article number	8
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-020-03105-x
Publication status	Published - Dec 2021

Keywords

Discrete Gehring’s class
Discrete Muchenhoupt’s class
Self-improving properties

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10.1186/s13662-020-03105-x

Cite this

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title = "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 Ap and the discrete Gehring class Gq. These properties involve the self-improving properties and the fundamental transitions and inclusions relations between the two classes.",

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AU - Saker, S. H.

AU - Rabie, S. S.

AU - Alzabut, Jehad

AU - O’Regan, D.

AU - Agarwal, R. P.

PY - 2021/12

Y1 - 2021/12

N2 - In this paper, we prove some basic properties of the discrete Muckenhoupt class Ap and the discrete Gehring class Gq. These properties involve the self-improving properties and the fundamental transitions and inclusions relations between the two classes.

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

KW - Discrete Gehring’s class

KW - Discrete Muchenhoupt’s class

KW - Self-improving properties

UR - https://www.scopus.com/pages/publications/85098845063

U2 - 10.1186/s13662-020-03105-x

DO - 10.1186/s13662-020-03105-x

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SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

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

Abstract

Keywords

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