Extension des Fonctions Plurisousharmoniques a Travers de "Petits" Sous-Ensembles
Publications de l'Institut Mathématique, _N_S_88 (2010) no. 102, p. 123
Cet article a éte moissonné depuis 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 },
year = {2010},
volume = {_N_S_88},
number = {102},
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 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/