Comptes Rendus
no. 1
Complex analysis
On the regularization of J-plurisubharmonic functions
[Sur la régularisation des fonctions J-pluri-sous-harmoniques]

Présenté par : Jean-Pierre Demailly

Szymon Pliś1
1 Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland
Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 17-19.

Nous montrons que, sur une surface presque complexe, les fonctions pluri-sous-harmo-niques peuvent étre localement approximées par des fonctions pluri-sous-harmoniques lisses. La méthode consiste à appliquer le théorème de type Polestsky démontré par U. Kuzman.

We show that on almost complex surfaces plurisubharmonic functions can be locally approximated by smooth plurisubharmonic functions. The main tool is the Poletsky type theorem due to U. Kuzman.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.11.001
Szymon Pliś 1

1 Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland 
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Szymon Pliś. On the regularization of J-plurisubharmonic functions. Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 17-19. doi : 10.1016/j.crma.2014.11.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.11.001/

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