학술논문
Two-Point Distortion Theorems for Harmonic Mappings.
Document Type
Article
Source
Subject
Language
ISSN
0126-6705
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. [ABSTRACT FROM AUTHOR]