{"title":"New characterization of weighted inequalities involving superposition of Hardy integral operators","authors":"Amiran Gogatishvili, Tuğçe Ünver","doi":"10.1002/mana.202400007","DOIUrl":null,"url":null,"abstract":"<p>Let <span></span><math>\n <semantics>\n <mrow>\n <mn>1</mn>\n <mo>≤</mo>\n <mi>p</mi>\n <mo><</mo>\n <mi>∞</mi>\n </mrow>\n <annotation>$1\\le p &lt;\\infty$</annotation>\n </semantics></math> and <span></span><math>\n <semantics>\n <mrow>\n <mn>0</mn>\n <mo><</mo>\n <mi>q</mi>\n <mo>,</mo>\n <mi>r</mi>\n <mo><</mo>\n <mi>∞</mi>\n </mrow>\n <annotation>$0 &lt; q,r &lt; \\infty$</annotation>\n </semantics></math>. We characterize the validity of the inequality for the composition of the Hardy operator,\n\n </p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"297 9","pages":"3381-3409"},"PeriodicalIF":0.8000,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.202400007","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Nachrichten","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202400007","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Let and . We characterize the validity of the inequality for the composition of the Hardy operator,
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
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