Modulus of curve families and extremality of spiral-stretch maps

DOI10.1007/s11854-011-0007-xzbMath1232.30019OpenAlexW2082703447WikidataQ110007349 ScholiaQ110007349MaRDI QIDQ542043

Ioannis D. Platis, Zoltán M. Balogh, Katrin S. Fässler

Publication date: 8 June 2011

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://boris.unibe.ch/6904/1/11854_2011_Article_7.pdf

zbMATH Keywords

extremal quasiconformal mapsJohn's rotation problemspiral maps

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (9)

Exceptional families of measures on Carnot groups ⋮ Modulus of surface families and the radial stretch in the Heisenberg group ⋮ An Aronsson type approach to extremal quasiconformal mappings ⋮ ON DISTORTION OF THE MODULI OF RINGS UNDER LOCALLY QUASICONFORMAL MAPPINGS IN R^n ⋮ Pointwise rotation for mappings with exponentially integrable distortion ⋮ An extremal problem of Grötzsch type and an application ⋮ A note on the unique extremality of spiral-stretch maps ⋮ Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group ⋮ Bilipschitz and quasiconformal rotation, stretching and multifractal spectra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extremal length and functional completion
• Deformations of annuli with smallest mean distortion
• Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises
• Area distortion of quasiconformal mappings
• On conformal dilatation in space
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Rotation estimates and spirals
• Rotation and strain
• Sufficient and necessary conditions for conformality at a point. Part I. Geometric viewpoint
• Moduli in Modern Mapping Theory
• Sufficient and necessary conditions for conformality. Part II. Analytic viewpoint
• On the Module of Doubly-Connected Regions Under Harmonic Mappings
• Extremal mappings of finite distortion
• Extremal quasiconformal mappings
• Mappings of finite distortion: Monotonicity and continuity
• Mappings of finite distortion: Condition \(N\)
• Mappings of finite distortion: Discreteness and openness

This page was built for publication: Modulus of curve families and extremality of spiral-stretch maps