模、拟共形映射和区域类

Module,Quasiconformal Mapping and Domain Class

证明了Rn 中Jordan的QED域D如果还是拟共形反射 ,则它的外部D =Rn\D也是QED域 ,得到了拟共形映射的一个充分必要条件 .最后给出了Grotzsch模函Φ的一个下界估计 .

Let D be a Jordan QED domain of R n , if D is a quasiconformal reflection domain, then D  = R n \ D must be a QED domain; We give a necessary and sufficient condition of quasiconformal mapping and obtain a lower bound estimation of grotzsch module function Φ (α).