{"title":"傅里叶-沃尔什级数的空间bmo和强手段","authors":"V. Rodin","doi":"10.1070/SM1993V074N01ABEH003344","DOIUrl":null,"url":null,"abstract":"This article is devoted to series in the Walsh-Paley system. In particular, for an integrable function a condition is obtained for p-strong summability of the Fourier-Walsh series a.e. on [0,1] along with a uniform analogue for a continuous, function on [0,1].","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"96 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"THE SPACE BMO AND STRONG MEANS OF FOURIER-WALSH SERIES\",\"authors\":\"V. Rodin\",\"doi\":\"10.1070/SM1993V074N01ABEH003344\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article is devoted to series in the Walsh-Paley system. In particular, for an integrable function a condition is obtained for p-strong summability of the Fourier-Walsh series a.e. on [0,1] along with a uniform analogue for a continuous, function on [0,1].\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"96 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1993V074N01ABEH003344\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1993V074N01ABEH003344","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
THE SPACE BMO AND STRONG MEANS OF FOURIER-WALSH SERIES
This article is devoted to series in the Walsh-Paley system. In particular, for an integrable function a condition is obtained for p-strong summability of the Fourier-Walsh series a.e. on [0,1] along with a uniform analogue for a continuous, function on [0,1].