{"title":"鞅Hardy空间上vilenkin - fejsamr means子序列的有界性","authors":"L. Persson, G. Tephnadze, G. Tutberidze","doi":"10.7153/oam-2020-14-22","DOIUrl":null,"url":null,"abstract":"In this paper we characterize subsequences of Fejer means with respect to Vilenkin systems, which are bounded from the Hardy space $H_{p}$ to the Lebesgue space $L_{p},$ for all $0<p<1/2.$ The result is in a sense sharp.","PeriodicalId":8451,"journal":{"name":"arXiv: Classical Analysis and ODEs","volume":"109 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":"{\"title\":\"On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces\",\"authors\":\"L. Persson, G. Tephnadze, G. Tutberidze\",\"doi\":\"10.7153/oam-2020-14-22\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we characterize subsequences of Fejer means with respect to Vilenkin systems, which are bounded from the Hardy space $H_{p}$ to the Lebesgue space $L_{p},$ for all $0<p<1/2.$ The result is in a sense sharp.\",\"PeriodicalId\":8451,\"journal\":{\"name\":\"arXiv: Classical Analysis and ODEs\",\"volume\":\"109 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-02-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Classical Analysis and ODEs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/oam-2020-14-22\",\"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/10.7153/oam-2020-14-22","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces
In this paper we characterize subsequences of Fejer means with respect to Vilenkin systems, which are bounded from the Hardy space $H_{p}$ to the Lebesgue space $L_{p},$ for all $0
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