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.

Author

Lucas Kaufmann Sacchetto

Chalmers, Mathematical Sciences, Algebra and geometry

University of Gothenburg

Michigan Mathematical Journal

0026-2285 (ISSN) 1945-2365 (eISSN)

Vol. 66 3 581-594

Subject Categories

Mathematics

DOI

10.1307/mmj/1501120901

More information

Latest update

2/8/2021 1