Geodesic
A note on maximal plurifinely plurisubharmonic functions
Mohamed El Kadiri1
1 Résidence Hasnae B1, Appt 14, rue Chorafa Salé-Tabriquet, Morocco
Annales Polonici Mathematici, Tome 120 (2017) no. 3, pp. 217-225.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We improve some known results on plurifinely locally maximal plurifinely plurisubharmonic functions. We prove in particular that any locally bounded plurifinely locally maximal plurifinely plurisubharmonic function is maximal, and that any finite plurisubharmonic function on an open subset of ${\mathbb C}^n$ is maximal if and only if it is plurifinely locally maximal.
DOI : 10.4064/ap170723-18-11
Keywords: improve known results plurifinely locally maximal plurifinely plurisubharmonic functions prove particular locally bounded plurifinely locally maximal plurifinely plurisubharmonic function maximal finite plurisubharmonic function subset mathbb maximal only plurifinely locally maximal

Mohamed El Kadiri 1

1 Résidence Hasnae B1, Appt 14, rue Chorafa Salé-Tabriquet, Morocco 
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Mohamed El Kadiri. A note on maximal plurifinely plurisubharmonic functions. Annales Polonici Mathematici, Tome 120 (2017) no. 3, pp. 217-225. doi : 10.4064/ap170723-18-11. http://geodesic.mathdoc.fr/articles/10.4064/ap170723-18-11/

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