On regularization of plurisubharmonic functions near boundary points

2014/12/01 by Szymon Pliś, Pliś, Szymon
Mathematics · #32U05 #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1412.0562

openalex publication_date 2014/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove in an elementary way that for a Lipschitz domain D⊂ \cn, all plurisubharmonic functions on D can be regularized near any boundary point.

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