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Motivated by an old paper of Wells [J. London Math. Soc. 2 (1970), 549-556] we define the space X ⊗Y , where X and Y are "homogeneous" Banach spaces of analytic functions on the unit disk D, by the requirement that f can be represented as f = ∞ j=0 gn * hn, with gn ∈ X, hn ∈ Y and ∞ n=1 gn X hn Y < ∞. We show that this construction is closely related to coefficient multipliers. For example, we prove the formula ((X ⊗ Y ), Z) = (X, (Y, Z)), where (U, V ) denotes the space of multipliers from Udoi:10.4171/rmi/642 fatcat:sze4gvfcjzf2vmteloo6yesgny