Loewner chains and quasiconformal extension
of holomorphic mappings
Annales Polonici Mathematici, Tome 81 (2003) no. 1, pp. 85-100
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
loewner chain euclidean unit ball mathbb assume quasiconformal sufficient condition extend quasiconformal homeomorphism mathbb itself
Affiliations des auteurs :
Hidetaka Hamada 1 ; Gabriela Kohr 2
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author = {Hidetaka Hamada and Gabriela Kohr},
title = {Loewner chains and quasiconformal extension
of holomorphic mappings},
journal = {Annales Polonici Mathematici},
pages = {85--100},
publisher = {mathdoc},
volume = {81},
number = {1},
year = {2003},
doi = {10.4064/ap81-1-8},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap81-1-8/}
}
TY - JOUR AU - Hidetaka Hamada AU - Gabriela Kohr TI - Loewner chains and quasiconformal extension of holomorphic mappings JO - Annales Polonici Mathematici PY - 2003 SP - 85 EP - 100 VL - 81 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap81-1-8/ DO - 10.4064/ap81-1-8 LA - en ID - 10_4064_ap81_1_8 ER -
%0 Journal Article %A Hidetaka Hamada %A Gabriela Kohr %T Loewner chains and quasiconformal extension of holomorphic mappings %J Annales Polonici Mathematici %D 2003 %P 85-100 %V 81 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/ap81-1-8/ %R 10.4064/ap81-1-8 %G en %F 10_4064_ap81_1_8
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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