QUASICONFORMAL EXTENSION OF HARMONIC MAPPINGS IN THE PLANE

被引：21

作者：

Hernandez, Rodrigo ^{[1
]}

Martin, Maria J. ^{[2
]}

机构：

[1] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Vina Del Mar, Chile

[2] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2013年 / 38卷 / 02期

关键词：

Pre-Schwarzian derivative; quasiconformal extension; harmonic mapping;

D O I：

10.5186/aasfm.2013.3824

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a sense-preserving harmonic mapping in the unit disk. We give a sufficient condition in terms of the pre-Schwarzian derivative of f to ensure that it can be extended to a quasiconformal map in the complex plane.

引用

页码：617 / 630

页数：14

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