27 citations · 30 across the 6 of their papers we have counts for
7 papers
Quasiconformal Extensions to Space of Weierstrass-Enneper Lifts
Martin Chuaqui, Peter Duren, Brad Osgood
We derive a quasiconformal extension to 3-space of the Weierstrass-Enneper lifts of a class of harmonic mappings defined in the unit disk. The extension is based on fibrations of s…
Two-Point Distortion Theorems for Harmonic Mappings
Martin Chuaqui, Peter Duren, Brad Osgood
In earlier work the authors have extended Nehari's well-known Schwarzian derivative criterion for univalence of analytic functions to a univalence criterion for canonical lifts of…
Ahlfors-Weill Extensions for a Class of Minimal Surfaces
Martin Chuaqui, Peter Duren, Brad Osgood
The Ahlfors-Weill extension of a conformal mapping of the disk is generalized to the lift of a harmonic mapping of the disk to a minimal surface, producing homeomorphic and quasico…
Injectivity Criteria for Holomorphic Curves in
M. Chuaqui, P. Duren, B. Osgood
Combining the definition of Schwarzian derivative for conformal mappings between Riemannian manifolds given by Osgood and Stowe with that for parametrized curves in Euclidean space…
Schwarzian Derivatives and Uniform Local Univalence
Martin Chuaqui, Peter Duren, Brad Osgood
Quantitative estimates are obtained for the (finite) valence of functions analytic in the unit disk with Schwarzian derivative that is bounded or of slow growth. A harmonic mapping…
Univalence Criteria for Lifts of Harmonic Mappings to Minimal Surfaces
M. Chuaqui, P. Duren, B. Osgood
A general criterion in terms of the Schwarzian derivative is given for global univalence of the Weierstrass--Enneper lift of a planar harmonic mapping. Results on distortion and bo…