4 citations · 6 across the 8 of their papers we have counts for
8 papers
Monge-Ampere measures on subvarieties
Per Ahag, Urban Cegrell, Pham Hoang Hiep
In this article we address the question whether the complex Monge-Ampère equation is solvable for measures with large singular part. We prove that under some conditions there are n…
Measures of finite pluricomplex energy
Urban Cegrell
In this note we study a complex Monge-Ampère type equation of the form (dd^cu)^n = \frac {ke^{-u}dV}{\int e^{-u}dV}\,
On Dirichlet's principle and problem
Per Ahag, Urban Cegrell, Rafal Czyz
The aim of this paper is to give a new proof of the complete characterization of measures for which there exist a solution of the Dirichlet problem for the complex Monge-Ampere ope…
Partial pluricomplex energy and integrability exponents of plurisubharmonic functions
P. Åhag, U. Cegrell, S. Kołodziej +2
We give a sufficient condition on the Monge-Ampère mass of a plurisubharmonic function for to be locally integrable. This gives a pluripotential theoretic proof…
Monge-Ampere boundary measures
Urban Cegrell, Berit Kemppe
We study swept-out Monge-Ampere measures of plurisubharmonic functions and boundary values related to these measures.
Monge-Ampere measures on pluripolar sets
Per Ahag, Urban Cegrell, Rafal Czyz +1
In this article we solve the complex Monge-Ampere equation for measures with large singular part. This result generalizes classical results by Demailly, Lelong and Lempert a.o., wh…