Quasiconformal mappings onto John domains.

Juha Heinonen

Revista Matemática Iberoamericana (1989)

  • Volume: 5, Issue: 3-4, page 97-123
  • ISSN: 0213-2230

Abstract

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In this paper we study quasiconformal homeomorphisms of the unit ball B = Bn = {x ∈ Rn: |x| < 1} of Rn onto John domains. We recall that John domains were introduced by F. John in his study of rigidity of local quasi-isometries [J]; the term John domain was coined by O. Martio and J. Sarvas seventeen years later [MS]. From the various equivalent characterizations we shall adapt the following definition based on diameter carrots, cf. [V4], [V5], [NV].

How to cite

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Heinonen, Juha. "Quasiconformal mappings onto John domains.." Revista Matemática Iberoamericana 5.3-4 (1989): 97-123. <http://eudml.org/doc/39392>.

@article{Heinonen1989,
abstract = {In this paper we study quasiconformal homeomorphisms of the unit ball B = Bn = \{x ∈ Rn: |x| &lt; 1\} of Rn onto John domains. We recall that John domains were introduced by F. John in his study of rigidity of local quasi-isometries [J]; the term John domain was coined by O. Martio and J. Sarvas seventeen years later [MS]. From the various equivalent characterizations we shall adapt the following definition based on diameter carrots, cf. [V4], [V5], [NV].},
author = {Heinonen, Juha},
journal = {Revista Matemática Iberoamericana},
keywords = {Homeomorfismos; Aplicaciones cuasiconformes; Dominios; Representaciones; John domains},
language = {eng},
number = {3-4},
pages = {97-123},
title = {Quasiconformal mappings onto John domains.},
url = {http://eudml.org/doc/39392},
volume = {5},
year = {1989},
}

TY - JOUR
AU - Heinonen, Juha
TI - Quasiconformal mappings onto John domains.
JO - Revista Matemática Iberoamericana
PY - 1989
VL - 5
IS - 3-4
SP - 97
EP - 123
AB - In this paper we study quasiconformal homeomorphisms of the unit ball B = Bn = {x ∈ Rn: |x| &lt; 1} of Rn onto John domains. We recall that John domains were introduced by F. John in his study of rigidity of local quasi-isometries [J]; the term John domain was coined by O. Martio and J. Sarvas seventeen years later [MS]. From the various equivalent characterizations we shall adapt the following definition based on diameter carrots, cf. [V4], [V5], [NV].
LA - eng
KW - Homeomorfismos; Aplicaciones cuasiconformes; Dominios; Representaciones; John domains
UR - http://eudml.org/doc/39392
ER -

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