{"title":"一类Littlewood-Paley算子的锐渐近估计","authors":"Odysseas N. Bakas","doi":"10.4064/SM200514-6-10","DOIUrl":null,"url":null,"abstract":"It is well-known that Littlewood-Paley operators formed with respect to lacunary sets of finite order are bounded on $L^p (\\mathbb{R})$ for all $1 l \\} $.","PeriodicalId":8451,"journal":{"name":"arXiv: Classical Analysis and ODEs","volume":"180 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sharp asymptotic estimates for a class of Littlewood–Paley operators\",\"authors\":\"Odysseas N. Bakas\",\"doi\":\"10.4064/SM200514-6-10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is well-known that Littlewood-Paley operators formed with respect to lacunary sets of finite order are bounded on $L^p (\\\\mathbb{R})$ for all $1 l \\\\} $.\",\"PeriodicalId\":8451,\"journal\":{\"name\":\"arXiv: Classical Analysis and ODEs\",\"volume\":\"180 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-04-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Classical Analysis and ODEs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/SM200514-6-10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/SM200514-6-10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Sharp asymptotic estimates for a class of Littlewood–Paley operators
It is well-known that Littlewood-Paley operators formed with respect to lacunary sets of finite order are bounded on $L^p (\mathbb{R})$ for all $1 l \} $.
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