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

DOI10.1007/s13324-020-00393-0zbMath1473.30002arXiv2009.05476OpenAlexW3084995503MaRDI QIDQ2204965

Yong Huang, Saminathan Ponnusamy, Ming-Sheng Liu

Publication date: 16 October 2020

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05476

zbMATH Keywords

harmonic functionsbounded analytic functionsBohr radius

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Inequalities in the complex plane (30A10)

Related Items (15)

The Bohr-type operator on analytic functions and sections ⋮ Bohr-Rogosinski phenomenon for \(\mathcal{S}^*(\psi)\) and \(\mathcal{C}(\psi)\) ⋮ Bohr phenomenon for certain close-to-convex analytic functions ⋮ Bohr phenomenon for analytic functions subordinate to starlike or convex functions ⋮ Bohr's inequality for holomorphic and pluriharmonic mappings with values in complex Hilbert spaces ⋮ Bohr–Rogosinski radius for a certain class of close-to-convex harmonic mappings ⋮ Bohr and Rogosinski inequalities for operator valued holomorphic functions ⋮ Bohr-Rogosinski-type inequalities for certain classes of functions: analytic, univalent, and convex ⋮ Bohr radius for pluriharmonic mappings in separable complex Hilbert spaces ⋮ Bohr-type inequalities for unimodular bounded analytic functions ⋮ Area estimates of images of disks under analytic functions ⋮ Bohr-type inequality via proper combination ⋮ Bohr radius for certain classes of close-to-convex harmonic mappings ⋮ Refinements of the Bohr and Rogosinski phenomena ⋮ The Bohr phenomenon for analytic functions on shifted disks

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