{"title":"Some relations between Hewitt-Stromberg premeasure and Hewitt-Stromberg measure","authors":"Najmeddine Attia, Omrane Guizani, Amal Mahjoub","doi":"10.2298/fil2301013a","DOIUrl":null,"url":null,"abstract":"Let K be a compact set of Rn and t ? 0. In this paper, we discuss the relation between the t-dimensional Hewitt-Stromberg premeasure and measure denoted by H?t and Ht respectively. We prove : if H?t (K) < +? then H?t (K) = Ht(K) and if H?t (K) = +?, there exists a compact subset F of K such that H?t (F) = Ht(F) and Ht(F) is close as we like to Ht(K).","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/fil2301013a","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
Let K be a compact set of Rn and t ? 0. In this paper, we discuss the relation between the t-dimensional Hewitt-Stromberg premeasure and measure denoted by H?t and Ht respectively. We prove : if H?t (K) < +? then H?t (K) = Ht(K) and if H?t (K) = +?, there exists a compact subset F of K such that H?t (F) = Ht(F) and Ht(F) is close as we like to Ht(K).
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