John disk and $K$-quasiconformal harmonic mappings
Shaolin Chen, Saminathan Ponnusamy
TL;DR
This paper explores the relationship between K-quasiconformal harmonic mappings and John disks, extending previous results to broader contexts in geometric function theory.
Contribution
It generalizes existing results by establishing new links between K-quasiconformal harmonic mappings and John disks.
Findings
Established relationships between K-quasiconformal harmonic mappings and John disks.
Generalized previous results by Pommerenke to broader classes of mappings.
Contributed to the understanding of geometric properties of harmonic mappings.
Abstract
The main aim of this article is to establish certain relationships between -quasiconformal harmonic mappings and John disks. The results of this article are the generalizations of the corresponding results of Ch.~Pommerenke \cite{Po}.
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Taxonomy
TopicsAnalytic and geometric function theory · Pelvic and Acetabular Injuries · Holomorphic and Operator Theory