Åhag, Per; Czyż, Rafał; Lodin, Sam; Wikström, Frank Plurisubharmonic extension in non-degenerate analytic polyhedra. (English) Zbl 1176.31010 Zesz. Nauk. Uniw. Jagiell. 1298, Univ. Iagell. Acta Math. 45, 139-145 (2007). 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 \(\mathcal P\). Cited in 1 Document MSC: 31C10 Pluriharmonic and plurisubharmonic functions 32U15 General pluripotential theory Keywords:analytic polyhedra; Dirichlet problem; Jensen measure; plurisubharmonic function PDFBibTeX XMLCite \textit{P. Åhag} et al., Zesz. Nauk. Uniw. Jagiell., Univ. Iagell. Acta Math. 1298(45), 139--145 (2007; Zbl 1176.31010) Full Text: EuDML EMIS