Quasi-isometric extensions of quasisymmetric mappings of the real line compatible with composition
نویسندگان
چکیده
منابع مشابه
Quasi-isometric Extensions of Quasisymmetric Mappings of the Real Line Compatible with Composition
We show that it is possible to extend, in a homomorphic fashion, each quasisymmetric homeomorphism of the real line to a quasi-isometry of the upper-half plane. Epstein and Markovic have recently shown that a homomorphic extension to quasiconformal homeomorphisms of the upper-half plane is not possible.
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2010
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2010.3513