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

agosto 23, 2018
Osvaldo Venegas, Rodrigo Hernández

Abstract:

https://link.springer.com/article/10.1007%2Fs11785-018-0836-z

Osvaldo Venegas, Rodrigo Hernández

DOI:

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.

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