{"title":"Estimates for the Norm of the Hardy Operator in Operator Ideals","authors":"E. N. Lomakina, M. G. Nasyrova","doi":"10.1134/s0037446624020083","DOIUrl":null,"url":null,"abstract":"<p>We find the conditions for a compact Hardy operator in Lorentz spaces\nto belong to the operator ideals generated by sequences of <span>\\( s \\)</span>-numbers.\nWe obtain some estimates of the norms of the Hardy operator in these ideals in terms of integral\nexpressions depending on the weight functions of the operator.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":"17 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624020083","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We find the conditions for a compact Hardy operator in Lorentz spaces
to belong to the operator ideals generated by sequences of \( s \)-numbers.
We obtain some estimates of the norms of the Hardy operator in these ideals in terms of integral
expressions depending on the weight functions of the operator.
期刊介绍：
Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.
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