Quasisymmetric embeddings of slit Sierpiński carpets

DOI10.1090/tran/9034arXiv1901.05632OpenAlexW2909954748MaRDI QIDQ6062133

Hrant Hakobyan, Wenbo Li

Publication date: 30 November 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05632

Mathematics Subject Classification ID

Fractals (28A80) Quasiconformal mappings in metric spaces (30L10) Geometric embeddings of metric spaces (30L05)

Cites Work

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• Quasisymmetric Koebe uniformization
• Uniformization of Sierpiński carpets in the plane
• The boundary correspondence under quasiconformal mappings
• A Sierpiński carpet with the co-Hopfian property
• Quasiconformal maps in metric spaces with controlled geometry
• Quasisymmetric parametrizations of two-dimensional metric spheres
• Lectures on analysis on metric spaces
• Transboundary extremal length
• Quasisymmetric rigidity of square Sierpiński carpets
• Quasisymmetric Koebe uniformization with weak metric doubling measures
• Quasisymmetrically co-Hopfian Menger curves and Sierpiński spaces
• Regular mappings and non-existence of bi-Lipschitz embeddings for slit carpets
• Modulus and Poincaré inequalities on non-self-similar Sierpiński carpets
• Hyperbolic groups with planar boundaries
• Lectures on \(n\)-dimensional quasiconformal mappings
• Planar relative Schottky sets and quasisymmetric maps
• Topological characterization of the Sierpiński curve
• Rigidity of Schottky sets
• Quasisymmetric embeddings of metric spaces
• Quasisymmetric embeddability of weak tangents
• Almost uniform domains and Poincaré inequalities
• Sobolev Spaces on Metric Measure Spaces