The Strong Oka’s Lemma, Bounded Plurisubharmonic Functions and the ∂̄-neumann Problem
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چکیده
The classical Oka’s Lemma states that if Ω is a pseudoconvex domain in C, n ≥ 2, then − log δ is plurisubharmonic where δ is some distance function to the boundary. Let M be a complex hermitian manifold with the metric form ω. Let Ω be relatively compact pseudoconvex domain in M . We say that a distance function δ to the boundary bΩ satisfies the strong Oka condition if it can be extended from a neighborhood of bΩ to Ω such that δ satisfies
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تاریخ انتشار 2006