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math.CV2025
Homeomorphic Sobolev extensions and integrability of hyperbolic metric
Xilin Zhou
Very recently, it was proved that if the hyperbolic metric of a planar Jordan domain is -integrable for some , then every homeomorphic parametrization of the…
math.CV2024
Homeomorphic Sobolev extensions of parametrizations of Jordan curves
Ondrěj Bouchala, Jarmo Jääskeläinen, Pekka Koskela +2
Each homeomorphic parametrization of a Jordan curve via the unit circle extends to a homeomorphism of the entire plane. It is a natural question to ask if such a homeomorphism can…