On the Lelong-Demailly numbers of plurisubharmonic currents

Abstract

In this note we study the existence of the Lelong-Demailly number of a negative plurisubharmonic current with respect to a positive plurisubharmonic function on an open subset of $\C^n$. Then we establish some estimates of the Lelong-Demailly numbers of positive or negative plurisubharmonic currents.

Cited by in corpus (3)

• On the tangent cones to plurisubharmonic currents
• Existence of the directional tangent cone to a positive current
• On the directional Lelong-Demailly numbers of positive currents