{"title":"度量空间中quasimöbius映射的可拓性","authors":"Tiantian Guan, Manzi Huang, Xiantao Wang","doi":"10.5186/aasfm.2020.4501","DOIUrl":null,"url":null,"abstract":"In 1991, Väisälä discussed the extension property of quasisymmetric mappings in Banach spaces. In 2009, Haïssinsky got an extension property of quasisymmetric mappings in metric spaces. The purpose of this paper is to establish an extension property of quasimöbius mappings in metric spaces.","PeriodicalId":50787,"journal":{"name":"Annales Academiae Scientiarum Fennicae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"An extension property of quasimöbius mappings in metric spaces\",\"authors\":\"Tiantian Guan, Manzi Huang, Xiantao Wang\",\"doi\":\"10.5186/aasfm.2020.4501\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In 1991, Väisälä discussed the extension property of quasisymmetric mappings in Banach spaces. In 2009, Haïssinsky got an extension property of quasisymmetric mappings in metric spaces. The purpose of this paper is to establish an extension property of quasimöbius mappings in metric spaces.\",\"PeriodicalId\":50787,\"journal\":{\"name\":\"Annales Academiae Scientiarum Fennicae-Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Academiae Scientiarum Fennicae-Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.5186/aasfm.2020.4501\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Academiae Scientiarum Fennicae-Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5186/aasfm.2020.4501","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
An extension property of quasimöbius mappings in metric spaces
In 1991, Väisälä discussed the extension property of quasisymmetric mappings in Banach spaces. In 2009, Haïssinsky got an extension property of quasisymmetric mappings in metric spaces. The purpose of this paper is to establish an extension property of quasimöbius mappings in metric spaces.
期刊介绍:
Annales Academiæ Scientiarum Fennicæ Mathematica is published by Academia Scientiarum Fennica since 1941. It was founded and edited, until 1974, by P.J. Myrberg. Its editor is Olli Martio.
AASF publishes refereed papers in all fields of mathematics with emphasis on analysis.