Open AccessAn Interpolation Theorem on Cycle Spaces for Functions Arising as Integrals of $\bar ∂$ Closed Forms
Author(s) -
Takeo Ohsawa
Publication year - 2007
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1201012373
Subject(s) - mathematics , interpolation (computer graphics) , bar (unit) , pure mathematics , mathematical analysis , motion (physics) , classical mechanics , physics , meteorology
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.
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