{"title":"论零光滑度贝索夫空间嵌入洛伦兹空间","authors":"D. M. Stolyarov","doi":"10.1134/s0081543823050127","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We show that the zero smoothness Besov space <span>\\(B_{p,q}^{0,1}\\)</span> does not embed into the Lorentz space <span>\\(L_{p,q}\\)</span> unless <span>\\(p=q\\)</span>; here <span>\\(p,q\\in (1,\\infty)\\)</span>. This answers in the negative a question posed by O. V. Besov. </p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Embedding of Besov Spaces of Zero Smoothness into Lorentz Spaces\",\"authors\":\"D. M. Stolyarov\",\"doi\":\"10.1134/s0081543823050127\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p> We show that the zero smoothness Besov space <span>\\\\(B_{p,q}^{0,1}\\\\)</span> does not embed into the Lorentz space <span>\\\\(L_{p,q}\\\\)</span> unless <span>\\\\(p=q\\\\)</span>; here <span>\\\\(p,q\\\\in (1,\\\\infty)\\\\)</span>. This answers in the negative a question posed by O. V. Besov. </p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-06\",\"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/s0081543823050127\",\"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/s0081543823050127","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
Abstract 我们证明了零光滑度贝索夫空间（B_{p,q}^{0,1}\）不会嵌入洛伦兹空间（L_{p,q}\），除非 \(p=q\)；这里是 \(p,q\in(1,\infty)\)。这从反面回答了 O. V. Besov 提出的一个问题。
On Embedding of Besov Spaces of Zero Smoothness into Lorentz Spaces
Abstract
We show that the zero smoothness Besov space \(B_{p,q}^{0,1}\) does not embed into the Lorentz space \(L_{p,q}\) unless \(p=q\); here \(p,q\in (1,\infty)\). This answers in the negative a question posed by O. V. Besov.
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
