The arc distortion in QH inner \(\psi\)-uniform (or convex) domains in real Banach spaces

DOI10.1007/s10114-011-8672-3zbMath1288.30025OpenAlexW1971909370MaRDI QIDQ353558

Manzi Huang, Xian Tao Wang

Publication date: 16 July 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8672-3

zbMATH Keywords

quasiconvexityconvex domainreal Banach spaceinner uniform domainneargeodesicQH \(\psi\)-uniform domainQH inner \(\psi\)-uniform domainquasihyperbolic geodesicuniform domain

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Conformal mappings of special domains (30C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Quadrilaterals and John disks
• Quasihyperbolic geodesics in convex domains
• Conformal invariants and quasiregular mappings
• Uniform domains
• Uniform domains and the quasi-hyperbolic metric
• John disks
• Quasiconformally homogeneous domains
• Uniform domains and the ubiquitous quasidisk
• On the stability of \(\varphi\)-uniform domains
• Uniform domains, John domains and quasi-isotropic domains
• Inner diameter, perimeter, and girth of spheres
• Quasiconformal and Bi-Lipschitz Homeomorphisms, Uniform Domains and the Quasihyperbolic Metric
• Definitions for uniform domains
• Free quasiconformality in Banach spaces II
• Relatively and inner uniform domains
• Harmonic measure and hyperbolic distance in John disks

This page was built for publication: The arc distortion in QH inner \(\psi\)-uniform (or convex) domains in real Banach spaces