Extreme points of subordination and weak subordination families of harmonic mappings. (English) Zbl 1224.30111

Summary: The aim of the paper is to discuss the extreme points of subordination and weak subordination families of harmonic mappings. Several necessary and sufficient conditions for harmonic mappings to be extreme points of the corresponding families are established.


30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C20 Conformal mappings of special domains
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