Remarks on the Bohr and Rogosinski phenomena for power series

DOI10.1007/s13324-012-0024-7zbMath1257.32001OpenAlexW1978633987MaRDI QIDQ692075

L. A. Ajzenberg

Publication date: 4 December 2012

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

Full work available at URL: https://doi.org/10.1007/s13324-012-0024-7

zbMATH Keywords

Hardy classesannulusReinhardt domainunit diskBohr radiusRogosinski radius

Mathematics Subject Classification ID

Power series, series of functions of several complex variables (32A05) Hardy spaces (30H10)

Related Items (14)

The Bohr-type operator on analytic functions and sections ⋮ Bohr-Rogosinski phenomenon for \(\mathcal{S}^*(\psi)\) and \(\mathcal{C}(\psi)\) ⋮ Bohr's phenomenon for the classes of quasi-subordination and \(K\)-quasiregular harmonic mappings ⋮ On the Bohr Inequality ⋮ Bohr–Rogosinski radius for a certain class of close-to-convex harmonic mappings ⋮ Bohr type inequalities for the class of self-analytic maps on the unit disk ⋮ Theory of certain non-univalent analytic functions ⋮ The sharp refined Bohr–Rogosinski inequalities for certain classes of harmonic mappings ⋮ Bohr-Rogosinski-type inequalities for certain classes of functions: analytic, univalent, and convex ⋮ Bohr's phenomenon for holomorphic and harmonic functions with lacunary series in complex Banach spaces ⋮ A generalization of the Bohr inequality and its applications ⋮ The Bohr inequality in the hyperbolic plane ⋮ The Bohr operator on analytic functions and sections ⋮ Refinements of the Bohr and Rogosinski phenomena

Cites Work

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• Estimates for the first and second Bohr radii of Reinhardt domains
• The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
• Bohr and Rogosinski abscissas for ordinary Dirichlet series
• A logarithmic lower bound for multi-dimensional Bohr radii
• A Bohr Phenomenon For Elliptic Equations
• ON BOHR'S INEQUALITY
• Absolute bases, tensor products and a theorem of Bohr
• EXTENSIONS OF BOHR'S INEQUALITY
• Generalization of results about the Bohr radius for power series
• Bohr’s power series theorem in several variables
• Bohrs power series theorem and local Banach space theory
• Multidimensional analogue of the van der Corput–Visser inequality and its application to the estimation of the Bohr radius
• An abstract approach to Bohr’s phenomenon
• On the Rogosinski radius for holomorphic mappings and some of its applications
• Multidimensional analogues of Bohr’s theorem on power series
• A remark on Bohr's theorem and its generalizations
• Generalization of a theorem of Bohr for bases in spaces of holomorphic functions of several complex variables

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