Weighted pluricomplex energy
Complex Variables
2009-03-15 v2
Abstract
We study the complex Monge-Ampre operator on the classes of finite pluricomplex energy in the general case ( i.e. the total Monge-Ampre mass may be infinite). We establish an interpretation of these classes in terms of the speed of decrease of the capacity of sublevel sets and give a complete description of the range of the operator on the classes
Cite
@article{arxiv.0806.4850,
title = {Weighted pluricomplex energy},
author = {Slimane Benelkourchi},
journal= {arXiv preprint arXiv:0806.4850},
year = {2009}
}
Comments
Contrary to what we claimed in the previous version, in Theorem 5.1 we generalize some Theorem of Urban Cegrell but we do not give a new proof. To appear in Potenial Analysis