Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings

Rodrigo Hernández; Osvaldo Venegas

doi:10.1007/s11785-018-0836-z

Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings

Rodrigo Hernández, Osvaldo Venegas

Facultad de Ingeniería y Ciencias

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

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Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	1783-1793
Número de páginas	11
Publicación	Complex Analysis and Operator Theory
Volumen	13
N.º	4
DOI	https://doi.org/10.1007/s11785-018-0836-z
Estado	Publicada - 1 jun. 2019

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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.",

keywords = "Distortion theorems, Harmonic mappings, Schwarzian derivative",

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Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings

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