摘要

We give a sufficient and necessary condition for an analytic function f(z) on the unit disc D with Hadamard gaps, that is, for f(z) = Sigma(infinity)(k=1) a(k)z(nk) where n(k+1)/n(k) >= lambda > 1 for all k is an element of N, to belong to the weighted-type space H(mu)(infinity), under some condition posed on the weight function mu. We can define the corresponding little weighted-type space H(mu,0)(infinity) and give a criterion for functions to belong to it.