{"title":"Spherical maximal operators on Heisenberg groups: Restricted dilation sets","authors":"Joris Roos, Andreas Seeger, Rajula Srivastava","doi":"10.4064/sm220804-22-6","DOIUrl":null,"url":null,"abstract":"Consider spherical means on the Heisenberg group with a codimension 2 incidence relation, and associated spherical local maximal functions $M_E f$ where the dilations are restricted to a set $E$. We prove $L^p\\to L^q$ estimates for these maximal operators","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"68 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/sm220804-22-6","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: 2
Abstract
Consider spherical means on the Heisenberg group with a codimension 2 incidence relation, and associated spherical local maximal functions $M_E f$ where the dilations are restricted to a set $E$. We prove $L^p\to L^q$ estimates for these maximal operators
期刊介绍：
The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.
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