Quasisymmetric Groups
نویسنده
چکیده
1.1. The main results. Let T denote the unit circle and D the unit disc. Suppose that f : T → T is a homeomorphism. Let f̂ : D → D be a homeomorphism too. We say that f̂ extends f if f̂ and f agree on T. All mappings in this paper are sense preserving (see the remark at the end of introduction). Definition 1.1. We say that a homeomorphism f : T → T is K-quasisymmetric if there exists a K-quasiconformal map f̂ : D → D that extends f .
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