{"title":"一类积分算子的schattenneumann范数的估计","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":"{\"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}","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}
The estimates of the Schatten-Neumann norms of one class of integral operators
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.