Bell representations of finitely connected planar domains
Bell representations of finitely connected planar domains
复制标题
有限连通平面域的贝尔表示
DOI：
--
复制
发表时间：
2002
期刊：
影响因子：
--
通讯作者：
M. Taniguchi
中科院分区：
文献类型：
--
作者：
Moonja Jeong;M. Taniguchi
本文解决了S.贝尔（1992）肯定。实际上，我们证明了每一个非退化的n-连通平面域Ω，其中n > 1，可表示为Ω = {|F| < 1}，具有适当的n次有理函数f。这一结果被认为是经典的平面单连通区域黎曼映射定理的自然推广。
In this paper, we solve a conjecture of S. Bell (1992) affirmatively. Actually, we prove that every non-degenerate n-connected planar domain Ω, where n > 1 is representable as Ω = {|f| < 1} with a suitable rational function f of degree n. This result is considered as a natural generalization of the classical Riemann mapping theorem for simply connected planar domains.