Univalence Criteria and Löwner Chains
Univalence Criteria and Löwner Chains
复制标题
单价准则和 Löwner 链
DOI：
10.1112/blms/23.6.563
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发表时间：
1991
影响因子：
0.9
通讯作者：
Th. Betker
中科院分区：
文献类型：
--
作者：
Th. Betker
设G c C是具有拟共形(quc.)边界曲线dG c C，设X：G->；G*=C\G是一个q-quc.DG中的反射，Q=-；定义见[1]。本文讨论了单价和量子的判据。解析(或亚纯)函数在G中的可扩性许多这类判据都是基于显式QC的。由方程I^(Z))=O(z，A(Z))(Zeg.)给出的扩张F，其中®(z，w)=O/z，w)在(z，w)eGxC中是解析的或亚纯的.因为福克斯是感官颠倒的QC。在G中，我们有Dzae，因此在G，k<；1中有ae。(·)
Let G c C be a Jordan domain with quasiconformal (quc.) boundary curve dG c C, and let X: G-> G*= C\G be a Q-quc. reflection in dG, Q=-—-; for the definitions, see [1]. This paper is concerned with criteria for the univalence and quc. extensibility of an analytic (or meromorphic) function/in G. Many criteria of this kind are based on explicit quc. extensions F of/given by some equation i^(z))= O (z, A (z))(zeG), where®(z, w)= O/z, w) is analytic or meromorphic in (z, w) eGxC. Since FoX is sense-reversing quc. in G, we have dz ae, and thus ae in G, k< 1.(•)