{"title":"海森堡群中的测度零UDS","authors":"A. Pinamonti, Gareth Speight","doi":"10.6092/ISSN.2240-2829/6692","DOIUrl":null,"url":null,"abstract":"We show that the Heisenberg group contains a measure zero set N such that every real-valued Lipschitz function is Pansu differentiable at a point of N.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"85-96"},"PeriodicalIF":0.2000,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A Measure Zero UDS in the Heisenberg Group\",\"authors\":\"A. Pinamonti, Gareth Speight\",\"doi\":\"10.6092/ISSN.2240-2829/6692\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the Heisenberg group contains a measure zero set N such that every real-valued Lipschitz function is Pansu differentiable at a point of N.\",\"PeriodicalId\":41199,\"journal\":{\"name\":\"Bruno Pini Mathematical Analysis Seminar\",\"volume\":\"7 1\",\"pages\":\"85-96\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2017-02-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bruno Pini Mathematical Analysis Seminar\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6092/ISSN.2240-2829/6692\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bruno Pini Mathematical Analysis Seminar","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6092/ISSN.2240-2829/6692","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
We show that the Heisenberg group contains a measure zero set N such that every real-valued Lipschitz function is Pansu differentiable at a point of N.