具有对数衰减的渐近拟共形映射  

Asymptotically quasiconformal mapping with logarithmic decay

作　　者：陈艳林 陈燚 唐树安 CHEN Yanlin;CHEN Yi;TANG Shu'an(School of Mathematical Science,Guizhou Normal University,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《贵州师范大学学报（自然科学版）》2023年第2期76-79,共4页Journal of Guizhou Normal University：Natural Sciences

基　　金：贵州省科技厅基金(黔科合基础-ZK[2021]一般001)。

摘　　要：设f是单位圆Δ到拟圆Ω的一个共形映射且其拟共形延拓的复伸缩商具有对数衰减性。利用共形映射f的对数导数与Schwarzian导数,给了这类拟共形延拓的一个等价刻画。Let f be a conformal mapping from the unit diskΔonto a quasidiscΩ,which admits a quasiconromal extension to the whole complex plane and its complex dilatation decays logarithmically.By using the logarithmic derivative and Schwarzian derivative of f,we obtain some characterizations of such asymptotically quasiconformal mappings.

关 键 词：共形映射 渐近拟共形延拓 Schwarzian导数 对数导数 

分 类 号：O174[理学—数学]