Abstract
In this paper, we investigate the properties of locally univalent and multivalent planar harmonic mappings. First, we discuss coefficient estimates and Landau's theorem for some classes of locally univalent harmonic mappings, and then we study some Lipschitz-type spaces for locally univalent and multivalent harmonic mappings.
Original language | English |
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Pages (from-to) | 198-215 |
Number of pages | 18 |
Journal | Journal of the Australian Mathematical Society |
Volume | 96 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2014 |
Keywords
- Green's theorem
- Lipschitz space
- harmonic Bloch space
- harmonic mappings
- harmonic univalent mappings