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.
Keywords:quasiconformal mapping, quasisymmetric mapping, quasimöbius mapping, curve of bounded rotation, curve of bounded turning, quasiconformal extension, Rickman criterion.
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