{"title":"The Hardy–Littlewood maximal operator on discrete weighted Morrey spaces","authors":"X. B. Hao, B. D. Li, S. Yang","doi":"10.1007/s10474-024-01420-3","DOIUrl":null,"url":null,"abstract":"<div><p>We introduce a discrete version of weighted Morrey spaces,\nand discuss the inclusion relations of these spaces. In addition, we obtain the\nboundedness of discrete weighted Hardy-Littlewood maximal operators on discrete\nweighted Lebesgue spaces by establishing a discrete Calderón-Zygmund decomposition\nfor weighted <span>\\(l^1\\)</span>-sequences. Furthermore, the necessary and sufficient\nconditions for the boundedness of the discrete Hardy-Littlewood maximal operators\non discrete weighted Morrey spaces are discussed. Particularly, the necessary\nand sufficient conditions are also discussed for the discrete power weights.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"445 - 469"},"PeriodicalIF":0.6000,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-024-01420-3","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce a discrete version of weighted Morrey spaces,
and discuss the inclusion relations of these spaces. In addition, we obtain the
boundedness of discrete weighted Hardy-Littlewood maximal operators on discrete
weighted Lebesgue spaces by establishing a discrete Calderón-Zygmund decomposition
for weighted \(l^1\)-sequences. Furthermore, the necessary and sufficient
conditions for the boundedness of the discrete Hardy-Littlewood maximal operators
on discrete weighted Morrey spaces are discussed. Particularly, the necessary
and sufficient conditions are also discussed for the discrete power weights.
期刊介绍：
Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.
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