Let be a strongly hyperconvex domain and be a decreasing sequence of hyperconvex domains such that . We show that every plurisubharmonic function is a limit of an increasing sequence of functions .
Soit un domaine fortement hyperconvexe et une suite décroissante de domaines hyperconvexes tel que . On prouve que toute fonction plurisousharmonique est limite d'une suite croissante de fonctions .
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@article{CRMATH_2006__342_9_647_0, author = {Benelkourchi, Slimane}, title = {A {Note} on the approximation of plurisubharmonic functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {647--650}, publisher = {Elsevier}, volume = {342}, number = {9}, year = {2006}, doi = {10.1016/j.crma.2006.03.002}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2006.03.002/} }
TY - JOUR AU - Benelkourchi, Slimane TI - A Note on the approximation of plurisubharmonic functions JO - Comptes Rendus. Mathématique PY - 2006 SP - 647 EP - 650 VL - 342 IS - 9 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2006.03.002/ DO - 10.1016/j.crma.2006.03.002 LA - en ID - CRMATH_2006__342_9_647_0 ER -
%0 Journal Article %A Benelkourchi, Slimane %T A Note on the approximation of plurisubharmonic functions %J Comptes Rendus. Mathématique %D 2006 %P 647-650 %V 342 %N 9 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2006.03.002/ %R 10.1016/j.crma.2006.03.002 %G en %F CRMATH_2006__342_9_647_0
Benelkourchi, Slimane. A Note on the approximation of plurisubharmonic functions. Comptes Rendus. Mathématique, Volume 342 (2006) no. 9, pp. 647-650. doi : 10.1016/j.crma.2006.03.002. http://archive.numdam.org/articles/10.1016/j.crma.2006.03.002/
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