−1, we let Dp α denote the space of those functions f which are analytic in the unit disc D = {z ∈ C: |z| < 1} and satisfy D(1 − |z|2)α|f (z)|p dx dy <∞. In this paper we characterize the positive Borel measures μ in D such that Dp α ⊂ Lq (dμ), 0 < p < q < ∞. We also characterize the pointwise multipliers from Dp α to Dq β (0 < p < q <∞) if p − 2 < α < p. In particular, we prove that if (2+α)/p − (β + 2)/q > 0 the only pointwise multiplier from Dp α to Dq β (0 < p < q <∞) is the trivial one. This is not longer true for (2+ α)/p − (β +2)/q 0 and we give a number of explicit examples of functions which are multipliers from Dp α to Dq β for this range of values. © 2006 Elsevier Inc. All rights reserved