{"title":"关于奥利兹-洛伦兹空间上哈迪-利特尔伍德最大算子有界性的评论","authors":"Zhiwei Hao, Lin Wang","doi":"10.1007/s00013-024-02028-3","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we give an alternative proof of the main result in Hatano et al. (Tokyo J Math 46(1):125–160, 2023) that the Hardy–Littlewood maximal operator is bounded on the Orlicz–Lorentz space <span>\\(L^{\\Phi ,q}({\\mathbb {R}}^n)\\)</span> for a Young function <span>\\(\\Phi \\in \\nabla _2\\)</span> and <span>\\(0<q<1.\\)</span></p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"123 4","pages":"423 - 430"},"PeriodicalIF":0.5000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A remark on the boundedness of the Hardy–Littlewood maximal operator on Orlicz–Lorentz spaces\",\"authors\":\"Zhiwei Hao, Lin Wang\",\"doi\":\"10.1007/s00013-024-02028-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we give an alternative proof of the main result in Hatano et al. (Tokyo J Math 46(1):125–160, 2023) that the Hardy–Littlewood maximal operator is bounded on the Orlicz–Lorentz space <span>\\\\(L^{\\\\Phi ,q}({\\\\mathbb {R}}^n)\\\\)</span> for a Young function <span>\\\\(\\\\Phi \\\\in \\\\nabla _2\\\\)</span> and <span>\\\\(0<q<1.\\\\)</span></p></div>\",\"PeriodicalId\":8346,\"journal\":{\"name\":\"Archiv der Mathematik\",\"volume\":\"123 4\",\"pages\":\"423 - 430\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archiv der Mathematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-024-02028-3\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-024-02028-3","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
A remark on the boundedness of the Hardy–Littlewood maximal operator on Orlicz–Lorentz spaces
In this paper, we give an alternative proof of the main result in Hatano et al. (Tokyo J Math 46(1):125–160, 2023) that the Hardy–Littlewood maximal operator is bounded on the Orlicz–Lorentz space \(L^{\Phi ,q}({\mathbb {R}}^n)\) for a Young function \(\Phi \in \nabla _2\) and \(0<q<1.\)
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Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
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