DISCRETE HARDY'S TYPE INEQUALITIES AND STRUCTURE OF DISCRETE CLASS OF WEIGHTS SATISFY REVERSE HOLDER'S INEQUALITY

被引：2

作者：

Saker, S. H. ^{[1
,2
]}

Agarwal, R. P. ^{[3
]}

机构：

[1] Galala Univ, Fac Sci, Dept Math, Galala New City, Egypt

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt

[3] Texas A&M Univ, Dept Math, Kingsvilie, TX 78363 USA

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2021年 / 24卷 / 02期

关键词：

Hardy's type inequality; discrete Gehring's class; discrete Muckenhoupt's class; higher summability; self-improving properties; MUCKENHOUPT; INTEGRABILITY; SEQUENCES;

D O I：

10.7153/mia-2021-24-36

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we will prove a new discrete weighted Hardy's type inequality with different powers. Next, we will apply this inequality to prove that the forward and backward propagation properties (self-improving properties) for the general discrete class B-p,B-q of weights that satisfy the reverse Holder inequality hold. As special cases, we will deduce the self-improving properties of discrete Gehring and Muckenhoupt weights. An example is considered for illustrations.

引用

页码：521 / 541

页数：21

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