Resumen de The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings

Huaihui Chen, Paul Gauthier

• For a normalized quasiregular pluriharmonic mapping of the unit ball of into , we estimate the supremum of numbers such that some subdomain of the ball is mapped by diffeomorphically onto some ball of radius . Our estimates significantly improve earlier estimates, even in the case of harmonic functions in the disc.