Quasiconformal and HQC mappings between Lyapunov Jordan domains

被引：0
|
作者：
Bozin, Vladimir [1 ]
Mateljevic, Miodrag [1 ]
机构：
[1] Univ Belgrade, Fac Math, Studentski Trg 16, Belgrade 11000, Serbia
来源：
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2020年 / 21卷
关键词：
HARMONIC-MAPPINGS; MAPS; DERIVATIVES; BOUNDARY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let h be a quasiconformal (qc) mapping of the unit disk U onto a Lyapunov domain. We show that h maps subdomains of Lyapunov type of U, which touch the boundary of U, onto domains of similar type. In particular if h is a harmonic qc (hqc) mapping of U onto a Lyapunov domain, using it, we prove that h is co-Lipschitz (co-Lip) on U. This settles an open intriguing problem.
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页码：107 / 132
页数：26
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