{"title":"Maximal -subsets of manifolds","authors":"Ciprian Demeter, Hongki Jung, Donggeun Ryou","doi":"10.1112/mtk.70026","DOIUrl":null,"url":null,"abstract":"<p>We construct maximal <span></span><math></math>-subsets on a large class of curved manifolds, in an optimal range of Lebesgue exponents <span></span><math></math>. Our arguments combine restriction estimates and decoupling with old and new probabilistic estimates.</p>","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"71 3","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematika","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/mtk.70026","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We construct maximal -subsets on a large class of curved manifolds, in an optimal range of Lebesgue exponents . Our arguments combine restriction estimates and decoupling with old and new probabilistic estimates.
期刊介绍:
Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.