{"title":"Almost Everywhere Convergence of T Means with Respect to the Vilenkin System of Integrable Functions","authors":"N. Nadirashvili","doi":"10.1007/s11253-023-02247-x","DOIUrl":null,"url":null,"abstract":"<p>We prove and discuss some new weak-type (1,1) inequalities for the maximal operators of <i>T</i> means with respect to the Vilenkin system generated by monotonic coefficients. We also apply the accumulated results to prove that these <i>T</i> means are almost everywhere convergent. As applications, we present both some well-known and new results.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11253-023-02247-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We prove and discuss some new weak-type (1,1) inequalities for the maximal operators of T means with respect to the Vilenkin system generated by monotonic coefficients. We also apply the accumulated results to prove that these T means are almost everywhere convergent. As applications, we present both some well-known and new results.
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