no. 9
Complex Analysis
A Note on the approximation of plurisubharmonic functions
Presented by: Pierre Lelong
Benelkourchi, Slimane1
1 Department of Mathematics, Royal Institute of Technology, 10044 Stockholm, Sweden
Comptes Rendus. Mathématique, Volume 342 (2006) no. 9, pp. 647-650

Let Ω⋐Cn be a strongly hyperconvex domain and Ωj be a decreasing sequence of hyperconvex domains such that Ω=(⋂Ωj)°. We show that every plurisubharmonic function φ∈Fa(Ω) is a limit of an increasing sequence of functions φj∈Fa(Ωj).

Soit Ω⋐Cn un domaine fortement hyperconvexe et Ωj une suite décroissante de domaines hyperconvexes tel que Ω=(⋂Ωj)°. On prouve que toute fonction plurisousharmonique φ∈Fa(Ω) est limite d'une suite croissante de fonctions φj∈Fa(Ωj).

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2006.03.002

Benelkourchi, Slimane 1

1 Department of Mathematics, Royal Institute of Technology, 10044 Stockholm, Sweden 
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Benelkourchi, Slimane. A Note on the approximation of plurisubharmonic functions. Comptes Rendus. Mathématique, Volume 342 (2006) no. 9, pp. 647-650. doi: 10.1016/j.crma.2006.03.002

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