Improved Bohr's inequality for locally univalent harmonic mappings
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2018-10-09
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Language
en
Pages
201-213
Series
INDAGATIONES MATHEMATICAE: NEW SERIES, Volume 30, issue 1
Abstract
We prove several improved versions of Bohr’s inequality for the harmonic mappings of the form f=h+\overline{g}, where h is bounded by 1 and |g'(z)| \leq |h'(z)|. The improvements are obtained along the lines of an earlier work of Kayumov and Ponnusamy, i.e. (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.Description
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Evdoridis , S , Ponnusamy , S & Rasila , A 2018 , ' Improved Bohr's inequality for locally univalent harmonic mappings ' , INDAGATIONES MATHEMATICAE: NEW SERIES , vol. 30 , no. 1 , pp. 201-213 . https://doi.org/10.1016/j.indag.2018.09.008
