In this article we prove that if uj , vj,w ε ℰ (Ω) such that uj , vj ≥ w, j ≥ 1, and |uj -vj|0 in Cn-capacity, then lim j∞ h(φ1,⋯, φm)[(dd cuj)n - (ddcuj) n ] = 0 in the weak-topology of measures for all φ1, ⋯, φm ε PSH ∩L∞loc(Ω), h ε C(Rm). We shall then use this result to give some applications.
