Sharp Bohr type real part estimates

DOI10.1007/BF03321638zbMath1152.30002OpenAlexW1991487935MaRDI QIDQ2467667

Vladimir Gilelevich Maz'ya, Gershon I. Kresin

Publication date: 28 January 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321638

zbMATH Keywords

Taylor seriesBohr's inequalityHadamard's Real Part Theorem

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Inequalities in the complex plane (30A10)

Related Items (6)

Bohr and Rogosinski abscissas for ordinary Dirichlet series ⋮ Bohr phenomenon for certain close-to-convex analytic functions ⋮ Bohr's phenomenon for the classes of quasi-subordination and \(K\)-quasiregular harmonic mappings ⋮ On the Bohr Inequality ⋮ Extremal problems in geometric function theory ⋮ Asymptotics of the Bohr radius for polynomials of fixed degree

Cites Work

• Bohr's radius for polynomials in one complex variable
• Remarks on the Bohr phenomenon
• 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
• On Generalized Schwarz‐Pick Estimates
• 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
• Generalized Schwarz-Pick estimates
• Banach Algebras Satisfying the Non-Unital Von Neumann Inequality
• Multidimensional analogues of Bohr’s theorem on power series
• Some theorems on perturbation theory
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sharp Bohr type real part estimates