{"title":"在 \\(\\mathbf {RBV_{(p,\\alpha )}^{0}([a,b])}\\) 变化空间作为 \\(\\mathbf {L_{(p,\\alpha )}([a,b])}\\) 的对偶空间上","authors":"René Erlin Castillo, Eduard Trousselot","doi":"10.1007/s13370-025-01280-2","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we study some properties of the space <span>\\(RBV_{(p,\\alpha )}^{0}([a,b])\\)</span>. Among other, we proved that the dual space of <span>\\(L_{(p,\\alpha )}([a,b])\\)</span> may be identified with the space <span>\\(RBV_{(p,\\alpha )}^{0}([a,b])\\)</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01280-2.pdf","citationCount":"0","resultStr":"{\"title\":\"On the \\\\(\\\\mathbf {RBV_{(p,\\\\alpha )}^{0}([a,b])}\\\\) variation space as the dual space of \\\\(\\\\mathbf {L_{(p,\\\\alpha )}([a,b])}\\\\)\",\"authors\":\"René Erlin Castillo, Eduard Trousselot\",\"doi\":\"10.1007/s13370-025-01280-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper we study some properties of the space <span>\\\\(RBV_{(p,\\\\alpha )}^{0}([a,b])\\\\)</span>. Among other, we proved that the dual space of <span>\\\\(L_{(p,\\\\alpha )}([a,b])\\\\)</span> may be identified with the space <span>\\\\(RBV_{(p,\\\\alpha )}^{0}([a,b])\\\\)</span>.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 2\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-04-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s13370-025-01280-2.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-025-01280-2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01280-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the \(\mathbf {RBV_{(p,\alpha )}^{0}([a,b])}\) variation space as the dual space of \(\mathbf {L_{(p,\alpha )}([a,b])}\)
In this paper we study some properties of the space \(RBV_{(p,\alpha )}^{0}([a,b])\). Among other, we proved that the dual space of \(L_{(p,\alpha )}([a,b])\) may be identified with the space \(RBV_{(p,\alpha )}^{0}([a,b])\).
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
