Volume growth of quasihyperbolic balls

DOI10.1070/SM8862zbMath1385.51014arXiv1208.5355OpenAlexW2962961452MaRDI QIDQ5369391

Xiao-Hui Zhang, Ville Suomala, Riku Klén, Matti Vuorinen

Publication date: 17 October 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5355

zbMATH Keywords

quasihyperbolic metricgrowth estimatesuniform porosity\(Q\)-regularityquasihyperbolic ballsquasihyperbolic volume

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Fractals (28A80) Length, area and volume in real or complex geometry (51M25)

Related Items (1)

Doubling chains on complements of algebraic hypersurfaces

Cites Work

• Packing dimension and Ahlfors regularity of porous sets in metric spaces
• Conformal invariants and quasiregular mappings
• The quasihyperbolic metric and associated estimates on the hyperbolic metric
• Uniform domains
• Whitney cubes, p-capacity, and Minkowski content
• Uniform domains and the quasi-hyperbolic metric
• Conformal geometry and quasiregular mappings
• Lectures on analysis on metric spaces
• On the stability of \(\varphi\)-uniform domains
• Doubling conformal densities
• Definitions for uniform domains
• Porous Sets and Quasisymmetric Maps
• Dimensions, Whitney covers, and tubular neighborhoods
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