Decomposition properties of John domains in normed vector spaces

DOI10.1016/j.jmaa.2011.10.038zbMath1244.30039OpenAlexW2081638582MaRDI QIDQ662061

Yaxiang Li, Manzi Huang

Publication date: 11 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.10.038

zbMATH Keywords

characterizationJohn domainJohn domain decomposition propertyquasiconformal decomposition property

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Geometry and structure of normed linear spaces (46B20)

Related Items (4)

On bilipschitz extensions in real Banach spaces ⋮ The quasiconformal subinvariance property of John domains in \({\mathbb {R}}^n\) and its applications ⋮ On the subinvariance of uniform domains in Banach spaces ⋮ Neargeodesics in John domains in Banach spaces

Cites Work

• Uniform domains
• Uniform domains and the quasi-hyperbolic metric
• John disks
• Uniform domains and the ubiquitous quasidisk
• Unions of John domains and uniform domains in real normed vector spaces
• Free quasiconformality in Banach spaces II
• Injectivity theorems in plane and space
• Harmonic measure and hyperbolic distance in John disks
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