Abstract
In this paper, we give a sufficient and a necessary condition for an analytic function f 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 logarithmic Bloch space B-omega '' as well as to the corresponding little weighted logarithmic Bloch space B-omega '',B-0, under some conditions posed on the weight function omega. Also, we study the relations between the class B-omega '' and some other classes of analytic functions by the help of analytic functions in the Hadamard gap class.