Two-Point Distortion Theorems for Harmonic Mappings

Víctor Bravo; Rodrigo Hernández; Osvaldo Venegas

doi:10.1007/s40840-023-01494-2

Two-Point Distortion Theorems for Harmonic Mappings

Víctor Bravo, Rodrigo Hernández, Osvaldo Venegas

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

Resumen

We establish two-point distortion theorems for sense-preserving planar harmonic mappings f= h+ g¯ in the unit disk D which satisfy harmonic versions of the univalence criteria due to Becker and Nehari. In addition, we also find two-point distortion theorems for the cases when h is a normalized convex function and, more generally, when h(D) is a c-linearly connected domain.

Idioma original	Inglés
Número de artículo	100
Publicación	Bulletin of the Malaysian Mathematical Sciences Society
Volumen	46
N.º	3
DOI	https://doi.org/10.1007/s40840-023-01494-2
Estado	Publicada - may. 2023
Publicado de forma externa	Sí

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10.1007/s40840-023-01494-2

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abstract = "We establish two-point distortion theorems for sense-preserving planar harmonic mappings f= h+ g¯ in the unit disk D which satisfy harmonic versions of the univalence criteria due to Becker and Nehari. In addition, we also find two-point distortion theorems for the cases when h is a normalized convex function and, more generally, when h(D) is a c-linearly connected domain.",

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AB - We establish two-point distortion theorems for sense-preserving planar harmonic mappings f= h+ g¯ in the unit disk D which satisfy harmonic versions of the univalence criteria due to Becker and Nehari. In addition, we also find two-point distortion theorems for the cases when h is a normalized convex function and, more generally, when h(D) is a c-linearly connected domain.

KW - Harmonic mappings

KW - Two-point distortion

KW - Univalence criterion

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Two-Point Distortion Theorems for Harmonic Mappings

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