Revista Matemática Iberoamericana
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Published online: 1996-12-31
Quasisymmetry, measure and a question of HeinonenStephen Semmes (1) Rice University, Houston, USA
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.
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Semmes Stephen: Quasisymmetry, measure and a question of Heinonen. Rev. Mat. Iberoam. 12 (1996), 727-781. doi: 10.4171/RMI/213