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arXiv · 2302.07745

Bohr-type inequalities for unimodular bounded analytic functions

Kaixin Chen·Ming-Sheng Liu·Saminathan Ponnusamy
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Abstract

In this paper, we establish several new versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing $\varphi=\{\varphi_n(r)\}^{\infty}_{n=0}$ in place of the $\{r^n\}^{\infty}_{n=0}$ in the power series representations of the functions involved with the Bohr sum and thereby introducing a single parameter, which generalize several related results of earlier authors.

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Kaixin Chen, Ming-Sheng Liu, Saminathan Ponnusamy. 2023-02-15. Bohr-type inequalities for unimodular bounded analytic functions. https://arxiv.org/abs/2302.07745

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