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It is shown that an interpolation theorem with L1-growth condition holds on the cycle spaces of q-complete manifolds with respect to those holomorphic functions arising as integrals of ∂-closed (q-1, q-1)-forms. The proof is based on the L2-method of Andreotti and Vesentini.

An Interpolation Theorem on Cycle Spaces for Functions Arising as Integrals of $\Vec{\bar{\partial}}$-Closed Forms