Quasisymmetric Koebe uniformization with weak metric doubling measures

DOI10.1215/00192082-9501456zbMath1483.30105arXiv2005.01700OpenAlexW3202001222WikidataQ109931483 ScholiaQ109931483MaRDI QIDQ2073246

Martti Rasimus, Kai Rajala

Publication date: 1 February 2022

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01700

zbMATH Keywords

metric spacesquasisymmetric equivalencefinitely connected circle domain

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Length, area, volume, other geometric measure theory (28A75) Quasiconformal mappings in metric spaces (30L10)

Related Items (3)

Canonical parametrizations of metric surfaces of higher topology ⋮ Quasisymmetric embeddings of slit Sierpiński carpets ⋮ Conformal uniformization of planar packings by disk packings

Cites Work

• Unnamed Item
• Quasisymmetric Koebe uniformization
• Uniformization of two-dimensional metric surfaces
• Uniformization of Sierpiński carpets in the plane
• Quasisymmetric parametrizations of two-dimensional metric spheres
• Lectures on analysis on metric spaces
• Lectures on \(n\)-dimensional quasiconformal mappings
• Expanding Thurston Maps
• Quasispheres and metric doubling measures
• Quasiconformal parametrization of metric surfaces with small dilatation

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