Weighted pluricomplex energy
| dc.creator | Benelkourchi, Slimane | |
| dc.date | 2008-06-30 | |
| dc.date | 2009-03-15 | |
| dc.date.accessioned | 2026-07-07T12:52:07Z | |
| dc.date.available | 2026-07-07T12:52:07Z | |
| dc.description | We study the complex Monge-Ampre operator on the classes of finite pluricomplex energy $\mathcal{E}_χ(Ω)$ in the general case ($χ(0)=0$ 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 $(dd^c \cdot)^n$ on the classes $\mathcal{E}χ(Ω).$ | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/0806.4850 | |
| dc.identifier | http://arxiv.org/abs/0806.4850 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223198 | |
| dc.subject | Complex Variables | |
| dc.subject | 32W20, 32U05, 32U15 | |
| dc.title | Weighted pluricomplex energy | |
| dc.type | text |