Constructing uniform spaces

DOI10.54330/afm.120938zbMath1501.30023OpenAlexW4291825460WikidataQ126122212 ScholiaQ126122212MaRDI QIDQ5097196

David A. Herron

Publication date: 22 August 2022

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.54330/afm.120938

zbMATH Keywords

quasihyperbolic metricuniform spaces

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Metric geometry (51F99) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Analysis on metric spaces (30L99)

Cites Work

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• On removability properties of \(\psi \)-uniform domains in Banach spaces
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• Spaces and groups with conformal dimension greater than one
• Uniform domains
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• Quasiconformally homogeneous domains
• Quasiconformal maps in metric spaces with controlled geometry
• Uniform, Sobolev extension and quasiconformal circle domains
• Uniform domains and the ubiquitous quasidisk
• Uniform domains and quasiconformal mappings on the Heisenberg group
• Geometric implications of the Poincaré inequality
• Lectures on \(n\)-dimensional quasiconformal mappings
• Uniformity from Gromov hyperbolicity
• Uniform metric spaces, annular quasiconvexity and pointed tangent spaces
• The geometry of uniform, quasicircle, and circle domains
• On quasiconformal rigidity in space and plane
• Definitions for uniform domains
• Injectivity theorems in plane and space
• POTENTIAL-THEORETIC CHARACTERIZATIONS OF NONSMOOTH DOMAINS

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