no. 23-24
Complex Analysis
The extendability of S-plurisubharmonic currents
[Sur le prolongement des courants S-plurisousharmoniques]
Présenté par : the Editorial Board
Al Abdulaali, Ahmad K.1
1 The Department of Mathematics, King Faisal University, P.O. Box 380, Post Code 31982 Al-Ahsa, Saudi Arabia
Comptes Rendus. Mathématique, Tome 350 (2012) no. 23-24, pp. 1023-1026

In this Note we are interested in studying the extension of negative S-plurisubharmonic currents across closed sets.

Dans cette Note, nous étudions le prolongement aux ensembles fermés des courants S-plurisousharmoniques négatifs.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2012.10.032

Al Abdulaali, Ahmad K. 1

1 The Department of Mathematics, King Faisal University, P.O. Box 380, Post Code 31982 Al-Ahsa, Saudi Arabia 
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Al Abdulaali, Ahmad K. The extendability of S-plurisubharmonic currents. Comptes Rendus. Mathématique, Tome 350 (2012) no. 23-24, pp. 1023-1026. doi: 10.1016/j.crma.2012.10.032

[1] A.K. Al Abdulaali, The inductive wedge product of positive currents, preprint.

[2] Alessandrini, L.; Bassanelli, G. Wedge product of positive currents and balanced manifolds, Tohoku Math. J. (2), Volume 60 (2008) no. 1, pp. 123-134

[3] Dabbek, K.; Elkhadra, F.; El Mir, H. Extension of plurisubharmonic currents, Math. Zeitschrift, Volume 245 (2003), pp. 455-481

[4] Dinh, T.; Sibony, N. Pull-back currents by holomorphic maps, Manuscripta Math., Volume 123 (2007) no. 3, pp. 357-371

[5] El Mir, H. Sur le prolongement des courants positifs fermés, Acta Math., Volume 153 (1984) no. 1–2, pp. 1-45 (in French)

[6] Harvey, R. Removable singularities for positive currents, Amer. J. Math., Volume 96 (1974), pp. 67-78

[7] Shiffman, B. On the removal of singularities of analytic sets, Michigan Math. J., Volume 15 (1968), pp. 111-120

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