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math.CV2010
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…
math.CV2010★ 1 cited
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…