涉及哈代积分算子叠加的加权不等式的新表征

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2024-06-27 DOI:10.1002/mana.202400007

Amiran Gogatishvili, Tuğçe Ünver

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引用次数: 0

摘要

设和。对于所有在 , 上的非负可测函数，我们描述了哈代算子组成的不等式的有效性。与之前的文献相比，我们构建了一种更直接的离散化方法，并以离散和连续的形式为该不等式提供了一些新的权重表征，同时我们还获得了之前作为参数特例的表征。

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New characterization of weighted inequalities involving superposition of Hardy integral operators

Let $1 \leq p < \infty$ and $0 < q, r < \infty$ . We characterize the validity of the inequality for the composition of the Hardy operator,

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index