Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8906081 | Indagationes Mathematicae | 2018 | 27 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Gang Liu, Saminathan Ponnusamy,