Bull. Korean Math. Soc. 2013; 50(4): 1377-1387
Printed July 1, 2013
https://doi.org/10.4134/BKMS.2013.50.4.1377
Copyright © The Korean Mathematical Society.
Hidetaka Hamada, Tatsuhiro Honda, and Kwang Ho Shon
Kyushu Sangyo University, Hiroshima Institute of Technology, Pusan National University
Let $f$ be a harmonic mapping on the unit disc $\Delta$ in $\C$. We give some condition for $f$ to be a quasiconformal homeomorphism on $\Delta$ and to have a quasiconformal extension to the whole plane $\overline{\C}$. We also obtain quasiconformal extension results for starlike harmonic mappings of order $\alpha\in(0,1)$.
Keywords: harmonic mapping, quasiconformal extension, starlike domain
MSC numbers: Primary 30C62, 30C45
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