Abstract
In this paper, we first establish a Schwarz–Pick lemma for higher-order derivatives of planar harmonic mappings, and apply it to obtain univalency criteria. Then we discuss distortion theorems, Lipschitz continuity and univalency of planar harmonic mappings defined in the unit disk with linearly connected images.
Original language | English |
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Pages (from-to) | 297-308 |
Number of pages | 12 |
Journal | Acta Mathematica Sinica, English Series |
Volume | 32 |
Issue number | 3 |
DOIs | |
State | Published - 1 Mar 2016 |
Externally published | Yes |
Keywords
- Harmonic mapping
- John constant
- Schwarz–Pick lemma
- a-close-to-convex function
- linearly connected domain
- univalency