Partial pluricomplex energy and integrability exponents of plurisubharmonic functions

Abstract

We give a sufficient condition on the Monge-Ampère mass of a plurisubharmonic function $u$ for $\exp (-2u)$ to be locally integrable. This gives a pluripotential theoretic proof of a theorem by J-P. Demailly.

extended version with new results and more applications

References in corpus (1)

• Estimates on Monge-Ampère operators derived from a local algebra inequality