{"title":"算子理想中的哈代算子规范的估计值","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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0037446624020083\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624020083","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们找到了洛伦兹空间中的紧凑哈代算子属于由 \( s \)-数序列产生的算子理想的条件,并根据取决于算子权重函数的积分表达式,得到了这些理想中哈代算子规范的一些估计值。
Estimates for the Norm of the Hardy Operator in Operator Ideals
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.