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Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk

Geometry and Topology (2007) 11 517-595
DOI: 10.2140/gt.2007.11.517
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Abstract

We prove that it is not possible to extend, in a homomorphic fashion, each quasisymmetric homeomorphism of the circle to a quasiconformal homeomorphism of the disk.

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APA

Epstein, D., & Markovic, V. (2007). Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk. Geometry and Topology, 11, 517–595. https://doi.org/10.2140/gt.2007.11.517

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