The Bohr Radius of a Banach Space [chapter]

Oscar Blasco
2009 Vector Measures, Integration and Related Topics  
Let 1 ≤ p, q < ∞ and let X be a complex Banach space. For each and denote the Bohr radius of X by Rp,q(X) = inf{Rp,q(f, X) : f H ∞ (D,X) ≤ 1}. The aim of this note is to study for which spaces X = L s (µ) or X = s one has Rp,q(X) > 0. (2000) . Primary 46E40; Secondary 30B10. Mathematics Subject Classification
doi:10.1007/978-3-0346-0211-2_5 fatcat:kgrzabrvebbo7fd2fk2ckxllvu