Abstract
The aim of this paper is to introduce the vector space delta F (m)(Omega). Equipping this space by a norm defined using the Hessian measure, we prove that it is a Banach space and that the class F (m)(Omega) is closed in it. Moreover we show that the topology defined by this norm is stronger than the convergence in Capm-capacity. At the end of this paper we prove a relationship between weak convergence and the convergence in capacity Cap(m,T) in the class delta SH (m) (loc) (Omega).