An abstract approach to Bohr’s phenomenon

DOI10.1090/S0002-9939-00-05270-9zbMath0958.46015OpenAlexW1507459761MaRDI QIDQ4490221

Aydin Aytuna, L. A. Ajzenberg, Plamen Djakov

Publication date: 10 July 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05270-9

zbMATH Keywords

spaces of holomorphic functionsBohr radiuscomplete Reinhardt domainsBohr's phenomenontopology of uniform convrgence on compact subsets

Mathematics Subject Classification ID

Related Items (25)

On the multidimensional Bohr radius ⋮ Remarks on the Bohr phenomenon ⋮ Real-part estimates for solutions of the Riesz system in ℝ³ ⋮ Bohr and Rogosinski abscissas for ordinary Dirichlet series ⋮ Bohr-Rogosinski inequalities for certain fully starlike harmonic mappings ⋮ Bohr phenomena for Laplace-Beltrami operators ⋮ Bohr's inequalities for the analytic functions with lacunary series and harmonic functions ⋮ Estimates for the first and second Bohr radii of Reinhardt domains ⋮ A new subclass of close-to-convex harmonic mappings ⋮ On the Bohr Inequality ⋮ Estimates for generalized Bohr radii in one and higher dimensions ⋮ Bohr inequality for odd analytic functions ⋮ Revisit of multi-dimensional Bohr radius ⋮ A new approach towards estimating the \(n\)-dimensional Bohr radius ⋮ The Bohr Theorem for slice regular functions ⋮ Sharp Bohr type real part estimates ⋮ Remarks on the Bohr and Rogosinski phenomena for power series ⋮ Vita: Friedrich Wilhelm Wiener. ⋮ Bohr radius for certain classes of close-to-convex harmonic mappings ⋮ Some properties of certain close-to-convex harmonic mappings ⋮ Bohr phenomenon for operator-valued functions ⋮ Bohr phenomenon for certain classes of harmonic mappings ⋮ Bohr type theorems for monogenic power series ⋮ Multidimensional analogues of refined Bohr’s inequality ⋮ Bohr's radius for polynomials in one complex variable

Cites Work

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• Bohr’s power series theorem in several variables
• Multidimensional analogues of Bohr’s theorem on power series
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Generalization of a theorem of Bohr for bases in spaces of holomorphic functions of several complex variables

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