Abstract
The spaces P (ω), 1 ⩽ p ⩽ ∞, ω real are defined to consist of those analytic functions ƒ(s), regular for Re s > ω and for which μ P (ƒ;x) is bounded for x > ω where (1.1) , 1 ⩽ p ⩽ ∞and (1.2)