期刊论文

Ponnusamy, Saminathan

英文

Indagationes Mathematicae

0019-3577

2018

29

2

752-778

10.1016/j.indag.2017.12.006

The work was completed during the visit of the first author to the Indian Statistical Institute, Chennai Centre and this author thanks the institute for the support and the hospitality. The research of the first author was supported by the NSFs of China (No. 11571049 ), the Construct Program of the Key Discipline in Hunan Province , the Science and Technology Plan Project of Hunan Province (No. 2016TP1020 ) and the Science and Technology Plan Project of Hengyang City ( 2017KJ183 ). The work of the second author is supported by Mathematical Research Impact Centric Support (MATRICS) of DST , India ( MTR/2017/000367 ). The second author is currently at Indian Statistical Institute (ISI), Chennai Centre, Chennai, India. The authors thank the referee for his/her comments.

本校为第一机构

In this paper, we consider the class of uniformly locally univalent harmonic mappings in the unit disk and build a relationship between its pre-Schwarzian norm and uniformly hyperbolic radius. Also, we establish eight ways of characterizing uniformly locally univalent sense-preserving harmonic mappings. We also present some sharp distortions and growth estimates and investigate their connections with Hardy spaces. Finally, we study subordination principles of norm estimates. (C) 2017 Royal Dutch Mathematical So...