Schwarzian derivatives and uniform local univalence

DOI10.1007/BF03321667zbMath1156.30019arXiv0706.4296OpenAlexW2010793193MaRDI QIDQ934522

Peter Duren, Brad G. Osgood, Martin Chuaqui Farrú

Publication date: 29 July 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4296

zbMATH Keywords

minimal surfaceharmonic mappingSchwarzian normvalenceharmonic lift

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Geometric function theory (30C99) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (10)

Norm of the pre-Schwarzian derivative, Bloch's constant and coefficient bounds in some classes of harmonic mappings ⋮ Some properties of univalent log-harmonic mappings ⋮ Univalence criteria for lifts of harmonic mappings to minimal surfaces ⋮ Radius properties of harmonic mappings with fixed analytic part ⋮ Injectivity of harmonic mappings with fixed analytic part ⋮ The Schwarzian derivative of harmonic mappings in the plane ⋮ On oscillation of solutions of linear differential equations ⋮ Pre-schwarzian and Schwarzian derivatives of harmonic mappings ⋮ Schwarzian derivative criteria for valence of analytic and harmonic mappings ⋮ Schwarzian derivative, integral means, and the affine and linear invariant families of biharmonic mappings

Cites Work

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• Univalence criteria for lifts of harmonic mappings to minimal surfaces
• Univalent harmonic mappings and linearly connected domains
• A property of convex conformal maps
• Univalence criteria depending on the Schwarzian derivative
• The Schwarzian derivative for harmonic mappings
• Linear-invariante Familien analytischer Funktionen. I
• Complex Nonoscillation Theorems and Criteria of Univalence
• Constants for Planar Harmonic Mappings
• Sharp Distortion Theorems Associated with the Schwarzian Derivative
• Simple curves in $\mathbb {R}^n$ and Ahlfors’ Schwarzian derivative
• The Schwarzian derivative and schlicht functions
• Some Criteria of Univalence

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