【浙江大学博士後研究工作报告局部拟共形映射估计和黎曼面上泰希缪勒映射的几何刻划】.pdf
局部拟共形估计和黎曼面上 泰希缪勒映射的几何刻划 Estimates onLocallyQuasiconformal Mappings and GeometricCharacterizationforTeichmiller MappingsonRiemannSurfaces 作 者:陈志国 专 业:复分析 站 名:数学博士后流动站 单位名称:浙江大学数学系 起始时间:期满时间:报告时间:1999.
Abstract This report contains ofthreechapters.In thefirst chapter,we dis cuss locally quasiconformal mappings on the unit diskpared with the theory of K-quasiconformal mappings,the theory of lo-cally quasiconformal mappings is far of completencss.As far as thc present author knows.
CHAPTER1 ESTIMATESONμ(Z)-HOMEOMORPHISMS OFTHEUNITDISK Abstract.Inthe theory of K-quasiconformal mappings,Moris theorem shows thatK-quasiconformal mappings on the unit disk satisfy theHolder condition, where the coefficient 16is best possible.