{"title":"广义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":"{\"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}","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
摘要
建立了具有球面扩张H(z,f) L loc (H)的上半平面自同胚的广义Beurling-Ahlfors定理,并研究了广义Beurling-Ahlfors扩展的加权拟等距性质。
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.