Abstract
The aim of this paper is to introduce and study some classes of m-subharmonic functions (epsilon(T)(p,m)(Omega) and F-m(T) (Omega)) where the operator (dd(c.))q Lambda T is well defined for a given m-positive closed current T of bidimension (q,q) defined on an mhyperconvex domain Omega of C-n. We prove first the quasicontinuity, with respect to a new capacity defined by the Monge-Ampere measure, of all m-subharmonic function that belong either to epsilon(T)(p,m)(Omega) or F-m(T)(Omega). This will allow us to prove that the well-known Xing comparison principle is valid on to the class epsilon(T)(p,m)(Omega).