A distortion theorem for quasiconformal automorphisms of the unit disk

Dariusz Partyka

Annales Polonici Mathematici (1991)

  • Volume: 55, Issue: 1, page 277-281
  • ISSN: 0066-2216

Abstract

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We give a distortion theorem for quasiconformal automorphisms of the unit disk and its application to improving some results due to Douady and Earle.

How to cite

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Dariusz Partyka. "A distortion theorem for quasiconformal automorphisms of the unit disk." Annales Polonici Mathematici 55.1 (1991): 277-281. <http://eudml.org/doc/262428>.

@article{DariuszPartyka1991,
abstract = {We give a distortion theorem for quasiconformal automorphisms of the unit disk and its application to improving some results due to Douady and Earle.},
author = {Dariusz Partyka},
journal = {Annales Polonici Mathematici},
keywords = {quasiconformal mappings; distortion theorems; Möbius transformations; quasiconformal extensions; complex dilatations},
language = {eng},
number = {1},
pages = {277-281},
title = {A distortion theorem for quasiconformal automorphisms of the unit disk},
url = {http://eudml.org/doc/262428},
volume = {55},
year = {1991},
}

TY - JOUR
AU - Dariusz Partyka
TI - A distortion theorem for quasiconformal automorphisms of the unit disk
JO - Annales Polonici Mathematici
PY - 1991
VL - 55
IS - 1
SP - 277
EP - 281
AB - We give a distortion theorem for quasiconformal automorphisms of the unit disk and its application to improving some results due to Douady and Earle.
LA - eng
KW - quasiconformal mappings; distortion theorems; Möbius transformations; quasiconformal extensions; complex dilatations
UR - http://eudml.org/doc/262428
ER -

References

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  1. [1] G. D. Anderson, M. K. Vamananmurthy and M. Vuorinen, Distortion functions for plane quasiconformal mappings, Israel J. Math. 62 (1) (1988), 1-16. Zbl0652.30013
  2. [2] G. Choquet, Sur un type de transformation analytique généralisant la représentation conforme et définie au moyen de fonctions harmoniques, Bull. Sci. Math. (2) 69 (1945), 156-165. Zbl0063.00851
  3. [3] A. Douady and C. J. Earle, Conformally natural extension of homeomorphisms of the circle, Acta Math. 157 (1-2) (1986), 23-48. Zbl0615.30005
  4. [4] J. Hersch, Longueurs extrémales, mesure harmonique et distance hyperbolique, C. R. Acad. Sci. Paris 235 (1952), 569-571. Zbl0049.33202
  5. [5] A. Lecko and D. Partyka, An alternative proof of a result due to Douady and Earle, Ann. Univ. Maria Curie-Skłodowska Sect. A 42 (1988), 59-68. Zbl0712.30040
  6. [6] O. Lehto and K. I. Virtanen, Quasiconformal Mappings in the Plane, Springer, Berlin 1973. Zbl0267.30016

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