Comptes Rendus
Complex Analysis
A Note on the approximation of plurisubharmonic functions
[Sur l'approximation des fonctions plurisousharmoniques]
Comptes Rendus. Mathématique, Volume 342 (2006) no. 9, pp. 647-650.

Soit ΩCn un domaine fortement hyperconvexe et Ωj une suite décroissante de domaines hyperconvexes tel que Ω=(Ωj)°. On prouve que toute fonction plurisousharmonique φFa(Ω) est limite d'une suite croissante de fonctions φjFa(Ωj).

Let ΩCn be a strongly hyperconvex domain and Ωj be a decreasing sequence of hyperconvex domains such that Ω=(Ωj)°. We show that every plurisubharmonic function φFa(Ω) is a limit of an increasing sequence of functions φjFa(Ωj).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.03.002

Slimane Benelkourchi 1

1 Department of Mathematics, Royal Institute of Technology, 10044 Stockholm, Sweden
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Slimane Benelkourchi. 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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.03.002/

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