On Bohr radii of finite dimensional complex Banach spaces

DOI10.7169/facm/1728zbMath1435.46034OpenAlexW2898240227MaRDI QIDQ2631743

Andreas Defant, Sunke Schlüters, Mieczyslaw Mastylo

Publication date: 16 May 2019

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1540519330

zbMATH Keywords

polynomialspower seriesBanach sequence spacesBohr radius

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) (Spaces of) multilinear mappings, polynomials (46G25) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Power series, series of functions of several complex variables (32A05)

Related Items

Extremal problems in geometric function theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
• Estimates for the first and second Bohr radii of Reinhardt domains
• The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
• The \(q\)-concavity constants of Lorentz sequence spaces and related inequalities
• A logarithmic lower bound for multi-dimensional Bohr radii
• The Bohr radius of the unit ball of
• MAXIMUM MODULUS OF RANDOM POLYNOMIALS
• Interpolation of Banach lattices
• Bohr’s power series theorem in several variables
• Bohrs power series theorem and local Banach space theory
• Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces