Riemann映射与单连通区域分类  

Riemann map and classifications for simply connected domains

作　　者：邱志坚[1] 

机构地区：[1]西南财经大学经济数学学院,成都610072

出　　处：《中国科学：数学》2013年第3期307-315,共9页Scientia Sinica：Mathematica

摘　　要：设G为复平面上一个单连通区域及φ为G的Riemann映射.本文通过φ是否属于G上多项式在不同拓扑下的闭包的情况对G进行分类.特别地,我们对已知的几类单连通给出了刻画.Let G be a simply connected domain in the complex plane and φbe its Riemann map. In this article, we give classifications for some known simply connected domains by investigating if φ belongs to the closure of the polynomials in certian topologies. Especially, we give new characterizations for some well-known domains.

关 键 词：Riemann映射 单连通区域 HARDY空间 

分 类 号：O174.5[理学—数学]