Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings / Agosto 2018 / Osvaldo Venegas, Rodrigo Hernández

Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and Osgood (J Lond Math Soc 2:289–298, 1993), which assert that the bounds of the size of the hyperbolic norm of the Schwarzian derivative for an analytic function f imply certain bounds for distortion and growth of f, are extended to the harmonic case.