Email this article Quasiconformal extension of quasimöbius mappings of Jordan domains
- Authors: Aseev V.V.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 58, No 3 (2017)
- Pages: 373-381
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171177
- DOI: https://doi.org/10.1134/S0037446617030016
- ID: 171177
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Abstract
We introduce the new class of Jordan arcs (curves) of bounded rotation which includes all arcs (curves) of bounded turning. We prove that if the boundary of a Jordan domain has bounded rotation everywhere but possibly one singular point then every quasimöbius embedding of this domain extends to a quasiconformal automorphism of the entire plane.
About the authors
V. V. Aseev
Sobolev Institute of Mathematics
Author for correspondence.
Email: btp@math.nsc.ru
Russian Federation, Novosibirsk
