Quasisymmetry, measure and a question of Heinonen.

Stephen Semmes

Revista Matemática Iberoamericana (1996)

  • Volume: 12, Issue: 3, page 727-781
  • ISSN: 0213-2230

Abstract

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In this paper we resolve in the affirmative a question of Heinonen on the absolute continuity of quasisymmetric mappings defined on subsets of Euclidean spaces. The main ingredients in the proof are extension results for quasisymmetric mappings and metric doubling measures.

How to cite

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Semmes, Stephen. "Quasisymmetry, measure and a question of Heinonen.." Revista Matemática Iberoamericana 12.3 (1996): 727-781. <http://eudml.org/doc/39519>.

@article{Semmes1996,
abstract = {In this paper we resolve in the affirmative a question of Heinonen on the absolute continuity of quasisymmetric mappings defined on subsets of Euclidean spaces. The main ingredients in the proof are extension results for quasisymmetric mappings and metric doubling measures.},
author = {Semmes, Stephen},
journal = {Revista Matemática Iberoamericana},
keywords = {Aplicaciones continuas; Teoría de la medida; Espacio euclídeo; Continuidad; Conjuntos de Lebesgue; quasisymmetry; absolute continuity; Lebesgue measure; doubling measures},
language = {eng},
number = {3},
pages = {727-781},
title = {Quasisymmetry, measure and a question of Heinonen.},
url = {http://eudml.org/doc/39519},
volume = {12},
year = {1996},
}

TY - JOUR
AU - Semmes, Stephen
TI - Quasisymmetry, measure and a question of Heinonen.
JO - Revista Matemática Iberoamericana
PY - 1996
VL - 12
IS - 3
SP - 727
EP - 781
AB - In this paper we resolve in the affirmative a question of Heinonen on the absolute continuity of quasisymmetric mappings defined on subsets of Euclidean spaces. The main ingredients in the proof are extension results for quasisymmetric mappings and metric doubling measures.
LA - eng
KW - Aplicaciones continuas; Teoría de la medida; Espacio euclídeo; Continuidad; Conjuntos de Lebesgue; quasisymmetry; absolute continuity; Lebesgue measure; doubling measures
UR - http://eudml.org/doc/39519
ER -

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