关于拟共形映射的一些极值问题  

Some Extreme Value Questions of Quasiconformal Mapping

作　　者：廖茂新[1] 

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2005年第3期68-70,共3页Journal of University of South China：Science and Technology

摘　　要：利用拟共形映射模的拟不变性和单调性,探讨了拟共形映射任意点的极值性质;同时给出了凸拟共形映照的Koebe的1/2———掩盖定理的一种新的证明方法;并推广了一个极值定理.On the basis of the quasi - invariability and the monotonicity of the modulus of quasiconformal mappings, we discuss the extreme properties of quasieonformal mappings. We also give a new and simple proof to Koebe＇ s covering theorem for the case of the mappings being convex quasiconformal; and an extreme value theorem is generalized.

关 键 词：K-拟共形映射 双连通域 掩蔽定理 

分 类 号：O174.55[理学—数学]