Quasiconformal Jordan Domains

We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains (Y, dY). We say that a metric space (Y, dY) is a quasiconformal Jordan domain if the completion ̄Y of (Y, dY) has finite Hausdorff 2-measure, the boundary ∂Y = ̄Y \ Y is homeomorphic to 𝕊1, and there exists a hom...

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Bibliographic Details
Main Author: Ikonen Toni
Format: article
Language:EN
Published: De Gruyter 2021
Subjects:
Online Access:https://doaj.org/article/b3cdbb65a0f94081bf8daedd49e15a4c
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