Two-Point Distortion Theorems for Harmonic Mappings
Date
Authors
VENEGAS TORRES, OSVALDO
Bravo, Victor
Hernández, Rodrigo
Venegas, Osvaldo
Bravo, Victor
Hernández, Rodrigo
Venegas, Osvaldo
Authors
Date
Datos de publicación:
10.1007/s40840-023-01494-2
Keywords
Harmonic Mappings - Two-point Distortion - Univalence Criterion
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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. © 2023 Elsevier B.V., All rights reserved.
Description
Keywords
Harmonic Mappings , Two-point Distortion , Univalence Criterion
Citation
10.1007/s40840-023-01494-2