On the directional Lelong-Demailly numbers of positive currents

2014/01/20 by Mohamed Zaway, Zaway, Mohamed, Haithem Hawari +3
Mathematics · #32U05 #32U25 #32U40 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32U05 #msc:32U25 #msc:32U40

paper · pdf · doi:10.48550/arxiv.1401.4920

12 pages

arxiv created 2014/01/20 · arxiv updated 2014/01/21

Abstract

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.

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