Quasiconformal Jordan Domains
نویسندگان
چکیده
Abstract We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains ( Y , d ). say that a metric space ) is domain if completion ? of has finite Hausdorff 2-measure, boundary ? = \ homeomorphic ???? 1 and there exists homeomorphism ? : ???? ?( in geometric sense. show continuous, monotone, surjective ?: ? ?. This result best possible this generality. In addition, we find necessary sufficient condition for ? be homeomorphism. provide conditions restriction being quasisymmetry ?Y bi-Lipschitz equivalent quasicircle plane.
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ژورنال
عنوان ژورنال: Analysis and Geometry in Metric Spaces
سال: 2021
ISSN: ['2299-3274']
DOI: https://doi.org/10.1515/agms-2020-0127