3 papers
math.CV2008
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…
math.DG2007★ 2 cited
A uniform L^{\infty} estimate for complex Monge-Ampere equations
Slawomir Kolodziej, Gang Tian
We prove uniform sup-norm estimates for the Monge-Ampere equation with respect to a family of Kahler metrics which degenerate towards a pull-back of a metric from a lower dimension…
math.CV2004
Subextension of plurisubharmonic functions with weak singularities
U. Cegrell, S. Kolodziej, A. Zeriahi
We prove several results showing that plurisubharmonic functions with various bounds on their Monge-Ampere masses on a bounded hyperconvex domain always admit global plurisubharmon…