{"title":"关于Orlicz范数极限的注记","authors":"D. Cruz-Uribe, S. Rodney","doi":"10.14321/realanalexch.48.1.1606864896","DOIUrl":null,"url":null,"abstract":"We generalize the well-known inequality that the limit of the $L^p$ norm of a function as $p\\rightarrow\\infty$ is the $L^\\infty$ norm to the scale of Orlicz spaces.","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":" ","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A Note on the Limit of Orlicz Norms\",\"authors\":\"D. Cruz-Uribe, S. Rodney\",\"doi\":\"10.14321/realanalexch.48.1.1606864896\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We generalize the well-known inequality that the limit of the $L^p$ norm of a function as $p\\\\rightarrow\\\\infty$ is the $L^\\\\infty$ norm to the scale of Orlicz spaces.\",\"PeriodicalId\":44674,\"journal\":{\"name\":\"Real Analysis Exchange\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2020-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Real Analysis Exchange\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14321/realanalexch.48.1.1606864896\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Real Analysis Exchange","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14321/realanalexch.48.1.1606864896","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
We generalize the well-known inequality that the limit of the $L^p$ norm of a function as $p\rightarrow\infty$ is the $L^\infty$ norm to the scale of Orlicz spaces.
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