Note on Improved Bohr Inequality for harmonic mappings
Saminathan Ponnusamy, Ramakrishnan Vijayakumar
TL;DR
This paper presents a new, generalized version of the Bohr inequality, refining it for both bounded analytic functions and sense-preserving harmonic functions with bounded analytic parts.
Contribution
It introduces a novel generalization of the Bohr inequality applicable to harmonic mappings, extending previous results in the field.
Findings
Refined Bohr inequality for bounded analytic functions
Generalized Bohr inequality for harmonic functions with bounded analytic parts
Enhanced bounds for harmonic mappings
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.
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Harmonic Analysis Research · Functional Equations Stability Results