Multidimensional analogues of refined Bohr's inequality

2021/03/17 by Liu, Ming-Sheng, Ponnusamy, Saminathan · 6 citations
#32A10 #Complex Variables (math.CV) #FOS: Mathematics #Primary: 32A05 #Secondary: 30H05

paper · doi:10.48550/arxiv.2103.09397

Abstract

In this paper, we first establish a version of multidimensional analogues of the refined Bohr's inequality. Then we establish two versions of multidimensional analogues of improved Bohr's inequality with initial coefficient being zero. Finally we establish two versions of multidimensional analogues of improved Bohr's inequality with the initial coefficient being replaced by absolute value of the function, and to prove that most of the results are sharp.

Cited by

• Multidimensional analogues of the refined Bohr type inequalities
• Multidimensional analogues of the improved Bohr's inequality
• Bohr-Rogosinski Inequalities for bounded analytic functions
• Bohr phenomena for slice regular functions over Quaternions
• Estimates of the Second Bohr radius for vector-valued Holomorphic functions
• The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces

Related

• Operator-valued analogues of multidimensional Bohr-Rogosinski inequalities
• Multidimensional analogues of the improved Bohr's inequality
• Bohr-Rogosinski inequalities involving Schwarz functions
• Multidimensional analogues of the refined Bohr type inequalities
• Sharpness in Bohr's Inequality