Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces

被引：0

作者：

Kalybay, Aigerim ^{[1
,2
]}

机构：

[1] KIMEP Univ, Dept Nat Sci & Math, Abay Ave 4, Alma Ata 050010, Kazakhstan

[2] Inst Math & Math Modeling, Pushkin St 125, Alma Ata 050010, Kazakhstan

来源：

OPEN MATHEMATICS | 2024年 / 22卷 / 01期

关键词：

integral operator; Hardy-type inequality; weight function; Lebesgue space; Morrey-type space; WEIGHTED INEQUALITIES;

D O I：

10.1515/math-2024-0046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional Hardy operator from a Lebesgue space to a Morrey-type space.

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页数：9

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