The Bohr radius of the unit ball of

DOI10.1515/CRELLE.2011.080zbMath1241.32001MaRDI QIDQ3103807

Andreas Defant, Leonhard Frerick

Publication date: 12 December 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

projection constanttensor productunconditional basis constantGordon-Lewis constant

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) (Spaces of) multilinear mappings, polynomials (46G25) Power series, series of functions of several complex variables (32A05)

Related Items (10)

On the multidimensional Bohr radius ⋮ On Bohr radii of finite dimensional complex Banach spaces ⋮ Bohr type inequalities for the class of self-analytic maps on the unit disk ⋮ Revisit of multi-dimensional Bohr radius ⋮ The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive ⋮ A new approach towards estimating the \(n\)-dimensional Bohr radius ⋮ Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions ⋮ Mixed Bohr radius in several variables ⋮ Refinements of the Bohr and Rogosinski phenomena ⋮ Monomial convergence for holomorphic functions on \(\ell_r\)

Cites Work

• The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
• Hardy spaces of Dirichlet series and their composition operators
• Absolutely summing operators and local unconditional structures
• Unconditionality in tensor products
• A logarithmic lower bound for multi-dimensional Bohr radii
• Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)
• THE ARITHMETIC BOHR RADIUS
• Bohr’s power series theorem in several variables
• Multidimensional analogues of Bohr’s theorem on power series
• Unconditional basis and Gordon-Lewis constants for spaces of polynomials

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