Quasisymmetry, measure and a question of Heinonen

Semmes, Stephen

doi:10.4171/RMI/213

Revista Matemática Iberoamericana

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Volume 12, Issue 3, 1996, pp. 727–781

DOI: 10.4171/RMI/213

Published online: 1996-12-31

Quasisymmetry, measure and a question of Heinonen

Stephen Semmes^[1]

(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