期刊论文

Liu, Gang

英文

Results in Mathematics

1422-6383

2018

73

3

1-21

10.1007/s00025-018-0853-2

NSFs of ChinaNational Natural Science Foundation of China (NSFC) [11571049]; Construct Program of the Key Discipline in Hunan Province; Science and Technology Plan Project of Hunan Province [2016TP1020]; Open fund project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University [2018IIPAYB04]; Science and Technology Plan Project of Hengyang City [2017KJ183]; Mathematical Research Impact Centric Support (MATRICS) Grant [MTR/2017/000367]; Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India

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The aim of this paper is twofold. One of them 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. (Complex Var Elliptic Equ 62:1081–1092, 2017). 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 case...