John disk and $K$-quasiconformal harmonic mappings

Abstract

The main aim of this article is to establish certain relationships between $K$-quasiconformal harmonic mappings and John disks. The results of this article are the generalizations of the corresponding results of Ch.~Pommerenke \cite{Po}.

18 pages, 1 figure

References in corpus (1)

• Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mappings