Abstract
The aim of this paper is to study the operator (dd(c))(q) perpendicular to T on some classes of plurisubharmonic (psh) functions, which are not necessary bounded, where T is a positive closed current of bidimension (q, q) on an open set of C-n. The author introduces two classes FpT() and EpT() and shows first that they belong to the domain of definition of the operator (dd(c))(q) perpendicular to T. Then the author proves that all functions that belong to these classes are C-T-quasi-continuous and that the comparison principle is valid for them.