An Interpolation Theorem on Cycle Spaces for Functions Arising as Integrals of $\bar ∂$ Closed Forms

Takeo Ohsawa · Publications of the Research Institute for Mathematical Sciences · 2007

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 \bar ∂ -closed (q−1, q−1) -forms. The proof is based on the L^2 -method of Andreotti and Vesentini.

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