Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings
Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings
Authors
Hernández, Rodrigo
Venegas, Osvaldo
Venegas, Osvaldo
Profesor Guía
Authors
Date
2019-09-05
Datos de publicación:
10.1007/s11785-018-0836-z
Complex Analysis and Operator Theory, Vol. 13, N° 4, 1783-1793, 2019
Complex Analysis and Operator Theory, Vol. 13, N° 4, 1783-1793, 2019
Tipo de recurso
Artículo de Revista
Keywords
Teoremas de Distorsión - Mapeos Armónicos - Derivado de Schwarz
Materia geográfica
Collections
Abstract
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.