A Skoda-type Integrability theorem for singular Monge-Ampère measures

Journal article, 2017

Let φ be a plurisubharmonic function defined on an open subset of Cn. We give a sufficient condition for the local integrability of e -φ with respect to a Monge-Ampère measure with Höldercontinuous potential μ = (ddcu)n. This condition is expressed in terms of the Lelong numbers of φ and the Hölder exponent of u.