Note on Improved Bohr Inequality for harmonic mappings

2021/04/14 by Saminathan Ponnusamy, Ponnusamy, Saminathan, Ramakrishnan Vijayakumar +1 · 2 citations
Mathematics · #30B10 31A05 #30H05 #40A30 #41A58 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Functional Equations Stability Results #Primary: 30A10 #Secondary: 30C75

paper · pdf · doi:10.48550/arxiv.2104.06717

openalex publication_date 2021/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give a new generalization of the Bohr inequality in refined form both for bounded analytic functions, and for sense-preserving harmonic functions with analytic part being bounded.

Cited by

• Bohr-Rogosinski Inequalities for bounded analytic functions
• The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces

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