摘要
本文考虑单位圆U={Z||Z|<1}到自身上的极值拟共形映照复特征的值域。在复特征值域的适当限制下,得到一个判别极值复特征的充要条件。作为特殊情形,改进了Qrtel和Smith的结果。
In this note the image domain of the complex dilatation of an extremal quasi conformal mapping which maps unit disk onto itself is studied. Under some additional conditions, a necessary and sufficient condition for an extremal dilatation is obtained. As a special case, M.Ortel and W. Smith's result in 1988 is improved.
出处
《数学进展》
CSCD
北大核心
1993年第5期435-440,共6页
Advances in Mathematics（China）
关键词
拟共形映射
极值
复特征
值域
quasiconformal mapping
extremal dilatation
image domain
argume-nt
Banach space
