{"title":"A Note on BV Continuity of Discrete Maximal Operators","authors":"Feng Liu, Xiao Zhang","doi":"10.1007/s00025-024-02164-w","DOIUrl":null,"url":null,"abstract":"<p>We prove <span>\\(\\textrm{BV}\\)</span> continuity of a class of discrete maximal operators associated to a general function <span>\\(\\Phi \\)</span>, which cover the classical one-dimensional discrete uncentered Hardy–Littlewood maximal operator. The main result not only improves and generalizes some known ones, but also answers a question originally posed by Liu and Wu in 2019.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"16 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00025-024-02164-w","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We prove \(\textrm{BV}\) continuity of a class of discrete maximal operators associated to a general function \(\Phi \), which cover the classical one-dimensional discrete uncentered Hardy–Littlewood maximal operator. The main result not only improves and generalizes some known ones, but also answers a question originally posed by Liu and Wu in 2019.
期刊介绍：
Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
