On the directional Lelong-Demailly numbers of positive currents
  In this paper we study the existence of the directional Lelong-Demailly numbers of positive plurisubharmonic or plurisuperharmonic currents. We prove the independence of these numbers to the system of coordinates. Moreover these numbers will be given by locally integrable functions. 
Mohamed Zaway, Haithem Hawari and Noureddine Ghiloufi
math.CV