It is shown that an interpolation theorem with _L_1-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 _L_2-method of Andreotti and Vesentini.
Cite this article
Takeo Ohsawa, An Interpolation Theorem on Cycle Spaces for Functions Arising as Integrals of <span style="text-decoration: overline;"><em>∂</em></span> Closed Forms. Publ. Res. Inst. Math. Sci. 43 (2007), no. 4, pp. 911–922DOI 10.2977/PRIMS/1201012373