Partial pluricomplex energy and integrability exponents of plurisubharmonic functions

Details Partial pluricomplex energy and integrability exponents of plurisubharmonic functions Partial pluricomplex energy and integrability exponents of plurisubharmonic functions

2008-04-24

arxiv.org/abs/0804.3954v3

Mathematics

Complex Variables

extended version with new results and more applications

Scientific paper

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

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