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On the directional Lelong-Demailly numbers of positive currents
Journal article   Peer reviewed

On the directional Lelong-Demailly numbers of positive currents

Mohamed Zaway, Haithem Hawari and Noureddine Ghiloufi
Complex variables and elliptic equations, Vol.60(2), pp.268-281
01/02/2015
DOI: https://doi.org/10.1080/17476933.2014.921816

Abstract

Lelong number plurisubharmonic function positive plurisubharmonic current
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 of the system of coordinates. Moreover, these numbers will be given by locally integrable functions.

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