区域常数及其在拟共形映射下的变化
District Constants and Their Changes under the Quasiconformal Mappings
摘要
介绍了一个新的区域常数,并得到它的一些性质,讨论了一些已知区域常数在拟共形映射下的变化。
This article introduces a new district contant and gives some properties of it. Secondly,we discuss the changes of some known district constants under the quasiconformal mappings
出处
《常熟理工学院学报》
2005年第4期26-30,共5页
Journal of Changshu Institute of Technology
关键词
区域常数
拟共形映射
度量
district constants
quasiconfomal mapping
measurement
参考文献7
-
1Pommerenke Ch. Linear-invariant Familien analitischer Funktoinen I[J]. Math Ann, 1964,155( 1 ) : 108 - 154.
-
2Harmelin R, Minda D. Quasi- invariant domain constants [J]. Israel J Math, 1992,77 ( 1 ) : 115 - 127.
-
3Osgood B. Some properties of f'/f' and the Poincare metric[J]. Indiana Univ Mathe J ,1982,31(4) :449 - 461.
-
4Ma W ,Minda D. Behavior of domain constants under conformal mappings[J]. Israel J Math, 1985,91 (1) :157 - 171.
-
5Yamashita S. Univalent analytic functions and the Poincare metric[J]. Kodai Math J, 1990,13 (2) :164 - 175.
-
6Pommerenke Ch. Univalent Functions[M]. Vandenhoeck & Ruprecht in Gottingen, 1975.
-
7Sugawa T. Various domain constants related to uniform perfectness[J], Complex Variables, 1998,36(4) : 311 - 345.