ACL homeomorphisms and linear dilatation

DOI10.1090/S0002-9939-01-06265-7zbMath0990.30014OpenAlexW1511862024MaRDI QIDQ2781254

Olli Martio, S. Kallunki

Publication date: 19 March 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06265-7

zbMATH Keywords

Hausdorff measurelinear dilatationabsolutely continuous on lines

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in the complex plane (30C62)

Related Items

Metric definition of \(\mu\)-homeomorphisms. ⋮ Dilatation, pointwise Lipschitz constants, and condition \(N\) on curves ⋮ Linear dilatation and differentiability of homeomorphisms of $\mathbb{R}^{n}$ ⋮ Mappings with finite distortion and arbitrary Jacobian sign

Cites Work

• Unnamed Item
• Unnamed Item
• The boundary correspondence under quasiconformal mappings
• Lectures on \(n\)-dimensional quasiconformal mappings
• Hausdorff dimension and quasisymmetric mappings.
• Compactness properties of μ-homeomorphisms
• Lower dimensional absolute continuity properties of quasiconformal mappings
• The ACL property of homeomorphisms under weak conditions