27 citations · 60 across the 15 of their papers we have counts for
9 papers · 1 filter
Best Möbius approximations of convex and concave mappings
Martin Chuaqui, Brad Osgood
We study the best Möbius approximations (BMA) to convex and concave conformal mappings of the disk, including the special case of mappings onto convex polygons. The crucial factor…
On convex mappings
Martin Chuaqui, Brad Osgood
We establish a new characterization for a conformal mapping of the unit disk to be convex, and identify the mappings onto a half-plane or a parallel strip as extremals…
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…