{"title":"Criteria for boundedness of a class of integral operators from \\(L_p\\) to \\(L_q\\) for \\(1<q<p<\\infty \\)","authors":"Ryskul Oinarov, Ainur Temirkhanova, Aigerim Kalybay","doi":"10.1007/s13324-025-01053-x","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we consider integral operators with non-negative kernels that satisfy conditions less restrictive than those studied earlier. We establish criteria for the boundedness of these operators in Lebesgue spaces.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.6000,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s13324-025-01053-x","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we consider integral operators with non-negative kernels that satisfy conditions less restrictive than those studied earlier. We establish criteria for the boundedness of these operators in Lebesgue spaces.
期刊介绍：
Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.
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