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.
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Aseev, V.V. Quasiconformal extension of quasimöbius mappings of Jordan domains. Sib Math J 58, 373–381 (2017). https://doi.org/10.1134/S0037446617030016
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DOI: https://doi.org/10.1134/S0037446617030016