1 citations · 1 across the 4 of their papers we have counts for
6 papers
Ahlfors-Weill extensions for harmonic mappings
Iason Efraimidis, Rodrigo Hernández, María J. Martín
We provide two new formulas for quasiconformal extension to for harmonic mappings defined in the unit disk and having sufficiently small Schwarzian derivati…
Quasiconformal extension for harmonic mappings on finitely connected domains
Iason Efraimidis
We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane, all of whose boundary components are either points or quasicircles, admits a qu…
Criteria for univalence and quasiconformal extension for harmonic mappings on planar domains
Iason Efraimidis
If is a simply connected domain in then, according to the Ahlfors-Gehring theorem, is a quasidisk if and only if there exists a sufficient condition…
Schwarzian derivatives for pluriharmonic mappings
Iason Efraimidis, Álvaro Ferrada-Salas, Rodrigo Hernández +1
A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in are introduced. Basic properties such as the chain rule, multiplicative…
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.…
Some more counterexamples for Bombieri's conjecture on univalent functions
Iason Efraimidis, Carlos Pastor
We disprove a conjecture of Bombieri regarding univalent functions in the unit disk in some previously unknown cases. The key step in the argument is showing that the global minimu…