Refined Bohr-type inequalities with area measure for bounded analytic functions
Complex Variables
2020-09-14 v1
Abstract
In this paper, we establish five new sharp versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing Schwarz function in place of the initial coefficients in the power series representations of the functions involved and thereby, we generalize several related results of earlier authors.
Cite
@article{arxiv.2009.05476,
title = {Refined Bohr-type inequalities with area measure for bounded analytic functions},
author = {Yong Huang and Ming-Sheng Liu and Saminathan Ponnusamy},
journal= {arXiv preprint arXiv:2009.05476},
year = {2020}
}
Comments
19 pages; To appear in Analysis and Mathematical Physics