Comptes Rendus
no. 23-24
Complex Analysis
The extendability of S-plurisubharmonic currents
[Sur le prolongement des courants S-plurisousharmoniques]

Présenté par : the Editorial Board

Ahmad K. Al Abdulaali1
1 The Department of Mathematics, King Faisal University, P.O. Box 380, Post Code 31982 Al-Ahsa, Saudi Arabia
Comptes Rendus. Mathématique, Volume 350 (2012) no. 23-24, pp. 1023-1026.

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

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

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2012.10.032
Ahmad K. Al Abdulaali 1

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

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

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

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

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

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

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

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

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