Extension des fonctions plurisousharmoniques a travers de “petits" sous-ensembles

Abstract

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 Cn, having zero Ronkin [8] 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 Cn (n?1).