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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title = "Two-Point Distortion Theorems for Harmonic Mappings",

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.",

keywords = "Harmonic mappings, Two-point distortion, Univalence criterion",

author = "V{\'i}ctor Bravo and Rodrigo Hern{\'a}ndez and Osvaldo Venegas",

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AU - Bravo, Víctor

AU - Hernández, Rodrigo

AU - Venegas, Osvaldo

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85152585820

U2 - 10.1007/s40840-023-01494-2

DO - 10.1007/s40840-023-01494-2

M3 - Article

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SN - 0126-6705

VL - 46

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

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ER -

Two-Point Distortion Theorems for Harmonic Mappings

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