Regularization of currents and entropy

Let T be a positive closed (p,p)-current on a compact Kahler manifold X. We prove the existence of smooth positive closed (p,p)-forms T-n(+) and T-n(-) such that T-n(+) T-n(-) -> T weakly. Moreover, parallel to T(n)(+/-)parallel to <= c(X) parallel to T parallel to where c(X) > 0 is a constant independent of T. We also extend this result to positive pluriharmonic currents. Then we study the wedge product of positive closed (1, 1)-currents having continuous potential with positive pluriharmonic currents. As an application, we give an estimate for the topological entropy of meromorphic maps on compact Kahler manifolds. (c) 2004 Elsevier SAS.