{"title":"Generalized Beurling-Ahlfors'Theorem","authors":"Fang Ainong","doi":"10.1360/YA1995-38-9-1060","DOIUrl":null,"url":null,"abstract":"A generalized Beurling-Ahlfors' Theorem for the self homeomorphism f of the upper half plane with the sphere dilatation H(z,f) L loc (H) is established and the property of weighted quasi-isometry for the generalized Beurling-Ahlfors' extension is studied.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1360/YA1995-38-9-1060","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A generalized Beurling-Ahlfors' Theorem for the self homeomorphism f of the upper half plane with the sphere dilatation H(z,f) L loc (H) is established and the property of weighted quasi-isometry for the generalized Beurling-Ahlfors' extension is studied.