Let K be a right-continuous and nondecreasing function.A function f analytic in the unit disk D belongs to the space DK if D|f(z)|2K(1- |z|2)dA(z) < ∞.Decomposition theorems for DK spaces are established in this paper.As an application,we obtain a characterization of interpolation by functions in DKspaces.Furthermore,we characterize functions in DKspaces by conjugate pairs.
