摘要
研究实轴Ｒ上同胚ｈ的Ｂｅｕｒｌｉｎｇ－Ａｈｌｆｏｒｓ扩张，估计了这个扩张在Ｒ附近的伸张．作为应用，给出了一个充分条件，使得ｈ可扩张为上半平面的拟共形映照．
his paper studies the Beurling-Ahlfors exlension of the homeomorphism h on the real axis R,and the dilatation of the extension is estimated near R. As an application, a sufficient conditions is given so that h can be extended to a quasiconformal mapping on the upper half plane.
出处
《复旦学报（自然科学版）》
CAS
CSCD
北大核心
1996年第4期381-386,共6页
Journal of Fudan University：Natural Science
关键词
拟共形映照
B-A扩张
伸张函数
边界性质
quasiconformal mapping
quasiconformal homeomorphism
Beurling-Ahlfors extension
dilatation functions
quasisymmetric function
