Geodesic
On subextension and approximation of plurisubharmonic functions with given boundary values
Hichame Amal1
1 Département de Mathématiques C.R.M.E.F. rue Abdelaziz Boutaleb 23 Mimousa Kénitra, Maroc
Annales Polonici Mathematici, Tome 110 (2014) no. 3, pp. 247-258

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

Our aim in this article is the study of subextension and approximation of plurisubharmonic functions in $\mathcal {E}_\chi (\varOmega ,H)$, the class of functions with finite $\chi $-energy and given boundary values. We show that, under certain conditions, one can approximate any function in $\mathcal {E}_\chi (\varOmega ,H)$ by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.
DOI : 10.4064/ap110-3-3
Keywords: article study subextension approximation plurisubharmonic functions mathcal chi varomega class functions finite chi energy given boundary values under certain conditions approximate function mathcal chi varomega increasing sequence plurisubharmonic functions defined strictly larger domains

Hichame Amal 1

1 Département de Mathématiques C.R.M.E.F. rue Abdelaziz Boutaleb 23 Mimousa Kénitra, Maroc 
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Hichame Amal. On subextension and approximation of plurisubharmonic functions with given boundary values. Annales Polonici Mathematici, Tome 110 (2014) no. 3, pp. 247-258. doi: 10.4064/ap110-3-3

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