Authors
Stavros Evdoridis, Saminathan Ponnusamy, Antti Rasila
Publication date
2019/1/1
Journal
Indagationes Mathematicae
Volume
30
Issue
1
Pages
201-213
Publisher
North-Holland
Description
We prove several improved versions of Bohr’s inequality for the harmonic mappings of the form f= h+ g¯, where h is bounded by 1 and| g′(z)|≤| h′(z)|. The improvements are obtained along the lines of an earlier work of Kayumov and Ponnusamy, ie (Kayumov and Ponnusamy, 2018) for example a term related to the area of the image of the disk D (0, r) under the mapping f is considered. Our results are sharp. In addition, further improvements of the main results for certain special classes of harmonic mappings are provided.
Total citations
201820192020202120222023202415811111010
Scholar articles