{"title":"Variation bounds for spherical averages over restricted dilates","authors":"Reuben Wheeler","doi":"arxiv-2409.05579","DOIUrl":null,"url":null,"abstract":"We study $L^p\\rightarrow L^q(V^r_E)$ variation semi-norm estimates for the\nspherical averaging operator, where $E\\subset [1,2]$.","PeriodicalId":501145,"journal":{"name":"arXiv - MATH - Classical Analysis and ODEs","volume":"43 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05579","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 study $L^p\rightarrow L^q(V^r_E)$ variation semi-norm estimates for the
spherical averaging operator, where $E\subset [1,2]$.
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