Chordal Loewner chains with quasiconformal extensions

被引：0
|
作者：
Pavel Gumenyuk
Ikkei Hotta
机构：
[1] Universitetet i Stavanger,Institutt for matematikk og naturvitenskap
[2] Yamaguchi University,Department of Applied Science
来源：
Mathematische Zeitschrift | 2017年 / 285卷
关键词：
Univalent function; Quasiconformal extension; Loewner chain; Chordal Loewner equation; Evolution family; Loewner range; Primary 30C62; Secondary 30C35; 30D05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In 1972, Becker (J Reine Angew Math 255:23–43, 1972), discovered a construction of quasiconformal extensions making use of the classical radial Loewner chains. In this paper we develop a chordal analogue of Becker’s construction. As an application, we establish new sufficient conditions for quasiconformal extendibility of holomorphic functions and give a simplified proof of one well-known result by Becker and Pommerenke (J Reine Angew Math 354:74–94, 1984) for functions in the half-plane.
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页码：1063 / 1089
页数：26
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