Geodesic
Loewner chains and quasiconformal extension of holomorphic mappings
Hidetaka Hamada1 ; Gabriela Kohr2
1Faculty of Engineering Kyushu Kyoritsu University 1-8 Jiyugaoka, Yahatanishi-ku Kitakyusu 807-8585, Japan
2Faculty of Mathematics Babeş-Bolyai University 1 M. Kogălniceanu St. 3400 Cluj-Napoca, Romania
Annales Polonici Mathematici, Tome 81 (2003) no. 1, pp. 85-100
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Let $f(z,t)$ be a Loewner chain on the Euclidean unit ball ${B}$ in ${\mathbb C}^n$. Assume that $f(z)=f(z,0)$ is quasiconformal. We give a sufficient condition for $f$ to extend to a quasiconformal homeomorphism of ${\mathbb R}^{2n}$ onto itself.
DOI : 10.4064/ap81-1-8
Keywords: loewner chain euclidean unit ball mathbb assume quasiconformal sufficient condition extend quasiconformal homeomorphism mathbb itself

Hidetaka Hamada  1   ; Gabriela Kohr  2

1 Faculty of Engineering Kyushu Kyoritsu University 1-8 Jiyugaoka, Yahatanishi-ku Kitakyusu 807-8585, Japan
2 Faculty of Mathematics Babeş-Bolyai University 1 M. Kogălniceanu St. 3400 Cluj-Napoca, Romania 
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Hidetaka Hamada; Gabriela Kohr. Loewner chains and quasiconformal extension
 of holomorphic mappings. Annales Polonici Mathematici, Tome 81 (2003) no. 1, pp. 85-100. doi: 10.4064/ap81-1-8

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