论文标题

精致的Bohr型不平等,具有界面分析功能的区域度量

Refined Bohr-type inequalities with area measure for bounded analytic functions

论文作者

Huang, Yong, Liu, Ming-Sheng, Ponnusamy, Saminathan

论文摘要

在本文中,我们通过允许Schwarz函数代替所涉及功能的功率序列表示中的初始系数,从而建立了单位磁盘中有界分析功能的BOHR型不平等的五个新版本,我们概述了早期作者的几个相关结果。

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.

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