Publications de l'Institut Mathématique, Nouvelle SérieVol. 88(102), pp. 123–127 (2010)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 88(102), pp. 123–127 (2010) |
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EXTENSION DES FONCTIONS PLURISOUSHARMONIQUES A TRAVERS DE "PETITS" SOUS-ENSEMBLESAbidi JamelDépartement de Mathématiques, Faculté des Sciences de Tunis, 2092 Tunis, TunisiaAbstract: We extend, in many variables, results established by Cegrell [2] on the continuation of the plurisubharmonic functions defined outside closed subsets, of open sets of $\mathbb{C}^n$, having zero Ronkin [6] gamma capacity. This will be achieved by the continuation of some plurisubharmonic functions, having on "a priori" growth, through some thin (meaning to be precised) closed subsets of $\mathbb{C}^n$ ($n\geq 1$). Classification (MSC2000): 32D20; 32U05 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 19 Nov 2010. This page was last modified: 6 Dec 2010.
© 2010 Mathematical Institute of the Serbian Academy of Science and Arts
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