27 citations · 32 across the 14 of their papers we have counts for
17 papers
On the localization of the poles of the best Mobius approximations of f
Hugo Arbelaez, Martin Chuaqui, Rodrigo Hernandez +1
We study the localization of the poles of the best Mobius approximations for locally univalent functions in the unit disk. Sharp geometric bounds for the pole function are establis…
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…
Families of Homomorphic Mappings in the Polydisk
Martin Chuaqui, Rodrigo Hernández
We study classes of locally biholomorphic mappings defined in the that have bounded Schwarzian operator in the Bergman metric. We establish important properties of specific sol…
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…
A class of Weierstrass-Enneper lifts of harmonic mappings
Martin Chuaqui, Iason Efraimidis
We introduce a class of Weierstrass-Enneper lifts of harmonic mappings which satisfy a criterion for univalence introduced by Duren, Osgood and the first author in [J. Geom. Anal.…
Injectivity of minimal immersions and homeomorphic extensions to space
Martin Chuaqui
We study a recent general criterion for the injectivity of the conformal immersion of a Riemannian manifold into higher dimensional Euclidean space, and show how it gives rise to i…