UNIQUENESS THEOREMS FOR MAPPINGS OF FINITE DISTORTION

DOI10.1017/S1446788717000222zbMath1423.30018OpenAlexW2768079531MaRDI QIDQ4642374

Enrique Villamor

Publication date: 23 May 2018

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

Full work available at URL: https://doi.org/10.1017/s1446788717000222

zbMATH Keywords

Hausdorff dimensiondistortion\(p\)-capacity\(p\)-modulus

Mathematics Subject Classification ID

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

Cites Work

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• Traces of monotone Sobolev functions
• Limites angulaires et limites fines
• Extremal length and p-capacity
• Extremal length as a capacity
• Lectures on \(n\)-dimensional quasiconformal mappings
• Beurling's theorem on exceptional sets
• Sets of uniqueness for functions regular in the unit circle
• Boundary Values for Some Classes of Functions
• Harmonic morphisms in nonlinear potential theory
• Remarks on the results by Koskela concerning the radial uniqueness for Sobolev functions
• A Radial Uniqueness Theorem for Sobolev Functions
• Composition of quasiconformal mappings and functions in Triebel‐Lizorkin spaces
• Traces of monotone functions in weighted Sobolev spaces

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