Plurisubharmonic currents and their extension across analytic subsets

Some extension problems are considered here for the class of plurisubharmonic currents, i.e. real currents T such that i(de-debar)T is positive. In particular we prove the following theorem: "Let Ω be an open subset of CN and Y an analytic subset of Ω. Suppose T is a negative plurisubharmonic current on Ω — Υ of bidimension (p,p); if dim Y<p, then T extends across Υ to a plurisubharmonic current on Ω.". For p = N, this is the classical result of Grauert and Remmert on the extension of plurisubharmonic functions.