Let D be a strictly pseudoconvex domain in Cn with C4-boundary. Let the multiplicative presheaf Npo, 1< p< ∞, on D be defined by U→{f ε Γ (U∩D, O) : both (log+|f|)p and (log-|f|)p have harmonic majorants on U∩D}. The purpose of this paper is to show that the multiplicative Cousin problems for the presheaf Np0 are solvable.
On the Multiplicative Cousin Problem for Strictly Pseudoconvex Domains
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