Loewner chains and quasiconformal extension of holomorphic mappings

Hidetaka Hamada; Gabriela Kohr

Annales Polonici Mathematici (2003)

  • Volume: 81, Issue: 1, page 85-100
  • ISSN: 0066-2216

Abstract

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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 2 n onto itself.

How to cite

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Hidetaka Hamada, and Gabriela Kohr. "Loewner chains and quasiconformal extension of holomorphic mappings." Annales Polonici Mathematici 81.1 (2003): 85-100. <http://eudml.org/doc/280405>.

@article{HidetakaHamada2003,
abstract = {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 $ℝ^\{2n\}$ onto itself.},
author = {Hidetaka Hamada, Gabriela Kohr},
journal = {Annales Polonici Mathematici},
keywords = {Loewner chain; quasiconformal extension},
language = {eng},
number = {1},
pages = {85-100},
title = {Loewner chains and quasiconformal extension of holomorphic mappings},
url = {http://eudml.org/doc/280405},
volume = {81},
year = {2003},
}

TY - JOUR
AU - Hidetaka Hamada
AU - Gabriela Kohr
TI - Loewner chains and quasiconformal extension of holomorphic mappings
JO - Annales Polonici Mathematici
PY - 2003
VL - 81
IS - 1
SP - 85
EP - 100
AB - 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 $ℝ^{2n}$ onto itself.
LA - eng
KW - Loewner chain; quasiconformal extension
UR - http://eudml.org/doc/280405
ER -

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