Comptes Rendus
no. 10
Potential theory/Complex analysis
On a constant in the energy estimate
[Sur une constante dans l'estimation d'énergie]

Présenté par : Jean-Pierre Demailly

Rafał Czyż1 ; Van Thien Nguyen1
1 Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland
Comptes Rendus. Mathématique, Volume 355 (2017) no. 10, pp. 1050-1054.

Dans cette note, nous prouvons que la constante D(p,m) dans l'estimation d'énergie, pour les fonctions m-sous-harmoniques avec p-énergie finie, est strictement supérieure à 1, pour p>0, p≠1.

In this note, we prove that the constant D(p,m) in the energy estimate, for m-subharmonic function with bounded p-energy, is strictly bigger than 1, for p>0, p≠1.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.09.019
Rafał Czyż 1 ; Van Thien Nguyen 1

1 Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland 
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Rafał Czyż; Van Thien Nguyen. On a constant in the energy estimate. Comptes Rendus. Mathématique, Volume 355 (2017) no. 10, pp. 1050-1054. doi : 10.1016/j.crma.2017.09.019. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.09.019/

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