On Harmonic $ν$-Bloch and $ν$-Bloch-type mappings

Abstract

The aim of this paper is twofold. One is to introduce the class of harmonic $ν$-Bloch-type mappings as a generalization of harmonic $ν$-Bloch mappings and thereby we generalize some recent results of harmonic $1$-Bloch-type mappings investigated recently by Efraimidis et al. \cite{EGHV}. The other is to investigate some subordination principles for harmonic Bloch mappings and then establish Bohr's theorem for these mappings and in a general setting, in some cases.

17 pages; Comments are welcome