{"title":"The estimates of the Schatten-Neumann norms of one class of integral operators","authors":"E. Lomakina, M.S. Sarychev","doi":"10.47910/femj202118","DOIUrl":null,"url":null,"abstract":"The article considers an integral operator acting from Lebesque spaces to Lorentz spaces. The conditions are found under which the compact operator belongs to the Shatten-Neumann classes.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dal'nevostochnyi Matematicheskii Zhurnal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47910/femj202118","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The article considers an integral operator acting from Lebesque spaces to Lorentz spaces. The conditions are found under which the compact operator belongs to the Shatten-Neumann classes.