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Plurisubharmonic extension in non-degenerate analytic polyhedra. (English) Zbl 1176.31010

Summary: Let \(\mathcal P\) be a connected, non-degenerate analytic polyhedron in \(\mathbb C^n\), \(n\geq 2\). In this note we characterize those continuous functions \(\partial \mathcal P\to \mathbb R\) which can be extended to a plurisubharmonic function in \(\mathcal P\).

MSC:

31C10 Pluriharmonic and plurisubharmonic functions
32U15 General pluripotential theory
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