Extension des Fonctions Plurisousharmoniques a Travers de "Petits" Sous-Ensembles
Publications de l'Institut Mathématique, _N_S_88 (2010) no. 102, p. 123
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We extend, in many variables, results established by Cegrell [2] on the continuation of the plurisubharmonic functions defined outside closed subsets, of open sets of $\mathbb{C}^n$, having zero Ronkin [6] gamma capacity. This will be achieved by the continuation of some plurisubharmonic functions, having on ``a priori" growth, through some thin (meaning to be precised) closed subsets of $\mathbb{C}^n$ ($n\geq 1$).
Classification :
32D20 32U05
@article{PIM_2010_N_S_88_102_a8,
author = {Abidi Jamel},
title = {Extension des {Fonctions} {Plurisousharmoniques} a {Travers} de {"Petits"} {Sous-Ensembles}},
journal = {Publications de l'Institut Math\'ematique},
pages = {123 },
publisher = {mathdoc},
volume = {_N_S_88},
number = {102},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2010_N_S_88_102_a8/}
}
TY - JOUR AU - Abidi Jamel TI - Extension des Fonctions Plurisousharmoniques a Travers de "Petits" Sous-Ensembles JO - Publications de l'Institut Mathématique PY - 2010 SP - 123 VL - _N_S_88 IS - 102 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PIM_2010_N_S_88_102_a8/ LA - en ID - PIM_2010_N_S_88_102_a8 ER -
Abidi Jamel. Extension des Fonctions Plurisousharmoniques a Travers de "Petits" Sous-Ensembles. Publications de l'Institut Mathématique, _N_S_88 (2010) no. 102, p. 123 . http://geodesic.mathdoc.fr/item/PIM_2010_N_S_88_102_a8/