Published 2007 | Published
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Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk

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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.

Additional Information

© 2007 Mathematical Sciences Publishers. Received: 28 September 2006; Accepted: 14 February 2007; Published: 16 March 2007.

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