Refined Bohr inequality for bounded analytic functions

2020/06/16 by Liu, Gang, Liu, Zhihong, Ponnusamy, Saminathan · 7 citations
#30C35 #30H05 #Complex Variables (math.CV) #FOS: Mathematics #Primary: 30A10 #Secondary: 30C45

paper · doi:10.48550/arxiv.2006.08930

Abstract

In this article, by combining appropriate refined Bohr's inequalities with some techniques concerning bounded analytic functions defined in the unit disk, we generalize and improve several Bohr type inequalities for such functions.

Cited by

• Improved Bohr inequalities involving Fréchet derivatives associated with Holomorphic mappings in Banach spaces
• Multidimensional analogues of the refined Bohr type inequalities
• Bohr-Rogosinski Inequalities for bounded analytic functions
• Bohr phenomena for slice regular functions over Quaternions
• A Unified Study of Bohr's Inequality for analytic and harmonic mappings on the Unit Disk
• A unified framework for Bohr-type inequalities using multiple Schwarz functions
• The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces

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