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arXiv · 1707.01570

On Harmonic $\nu$-Bloch and $\nu$-Bloch-type mappings

Gang Liu·Saminathan Ponnusamy
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Abstract

The aim of this paper is twofold. One is to introduce the class of harmonic $\nu$-Bloch-type mappings as a generalization of harmonic $\nu$-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.

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Gang Liu, Saminathan Ponnusamy. 2017-07-05. On Harmonic $\nu$-Bloch and $\nu$-Bloch-type mappings. https://arxiv.org/abs/1707.01570

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