Loewner chains and quasiconformal extension of holomorphic mappings
Hidetaka Hamada ; Gabriela Kohr
Annales Polonici Mathematici, Tome 81 (2003), p. 85-100 / Harvested from The Polish Digital Mathematics Library
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Let f(z,t) be a Loewner chain on the Euclidean unit ball B in ℂⁿ. Assume that f(z) = f(z,0) is quasiconformal. We give a sufficient condition for f to extend to a quasiconformal homeomorphism of ℝ2n onto itself.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:280405 
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     journal = {Annales Polonici Mathematici},
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     year = {2003},
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Hidetaka Hamada; Gabriela Kohr. Loewner chains and quasiconformal extension of holomorphic mappings. Annales Polonici Mathematici, Tome 81 (2003) pp. 85-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-1-8/