The extendability of <i>S</i>-plurisubharmonic currents

Ahmad K. Al Abdulaali

doi:10.1016/j.crma.2012.10.032

Complex Analysis

The extendability of S-plurisubharmonic currents
[Sur le prolongement des courants S-plurisousharmoniques]

Présenté par : the Editorial Board

Ahmad K. Al Abdulaali ¹

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.

Résumé
Abstract

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 : 2012-06-16
Accepté le : 2012-10-31
Publié le : 2012-11-20

DOI : 10.1016/j.crma.2012.10.032

Affiliations des auteurs :

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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     author = {Ahmad K. Al Abdulaali},
     title = {The extendability of {\protect\emph{S}-plurisubharmonic} currents},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1023--1026},
     publisher = {Elsevier},
     volume = {350},
     number = {23-24},
     year = {2012},
     doi = {10.1016/j.crma.2012.10.032},
     language = {en},
}

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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/

Bibliographie
Cité par

[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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