The Degree of Regularity of a Quasiconformal Mapping

DOI10.2307/2160752zbMath0814.30015OpenAlexW4243422589MaRDI QIDQ4318296

Pekka Koskela

Publication date: 2 January 1995

Full work available at URL: https://doi.org/10.2307/2160752

Mathematics Subject Classification ID

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

Related Items (10)

The radial behavior of a quasiconformal mapping ⋮ Area distortion of quasiconformal mappings ⋮ Fractional Hardy inequalities and visibility of the boundary ⋮ On the fusion problem for degenerate elliptic equations ⋮ Sobolev homeomorphic extensions onto John domains ⋮ Milton's conjecture on the regularity of solutions to isotropic equations ⋮ Weighted Hardy inequalities and the size of the boundary ⋮ Whitney’s example by way of Assouad’s embedding ⋮ Global integrability theorems for \(A\)-harmonic tensors ⋮ Improved Hölder regularity for strongly elliptic PDEs

Cites Work

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• Removability theorems for solutions of degenerate elliptic partial differential equations
• Quasiconformal mappings and global integrability of the derivative
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Quasiconformal groups with small dilatation
• Rings and Quasiconformal Mappings in Space
• Extension of quasisymmetric and Lipschitz embeddings of the real line into the plane
• A quasiconformal group not isomorphic to a Möbius group
• Classification of a quasi-circles by Hausdorff dimension

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