2 citations · 2 across the 7 of their papers we have counts for
7 papers · 1 filter
Properties of Besov and spaces in terms of the Schwarzian derivative of harmonic mappings
Hugo Arbeláez, Rodrigo Hernández, Willy Sierra
In this paper we give a characterization of belongs to or spaces for any locally univalent sense-preserving harmo…
A Characterization of concave mappings
V. Bravo, R. Hernández, O. Venegas
This study focuses on Concave mappings, a class of univalent functions that exhibit a unique property: they map the unit disk onto a domain whose complement is convex. The main obj…
Two-point distortion theorems for harmonic mappings
Víctor Bravo, Rodrigo Hernández, Osvaldo Venegas
We establish two-point distortion theorems for sense-preserving planar harmonic mappings which satisfies the univalence criteria in the unit disc such that, Beck…
On harmonic Bloch-type mappings
I. Efraimidis, J. Gaona, R. Hernández +1
Let be a complex-valued harmonic mapping defined in the unit disk . We introduce the following notion: we say that is a Bloch-type function if its Jacobian satis…
Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian DERIVATIVE
Rodrigo Hernández, María J. Martín
We prove that if the Schwarzian norm of a given complex-valued locally univalent harmonic mapping in the unit disk is small enough, then is, indeed, globally univalent and…
Affine and linear invariant families of harmonic mappings
Martin Chuaqui, Rodrigo Hernández, María José Martín
We study the order of affine and linear invariant families of planar harmonic mappings in the unit disk and determine the order of the family of mappings with bounded Schwarzian no…