Comptes Rendus
no. 1
Complex analysis
On the regularization of J-plurisubharmonic functions

Presented by: 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.

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.

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.

Received:
Accepted:
Published online:
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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