Some properties of plurisubharmonic functions

preprint2014arXivOpen access

Abstract

Two properties of plurisubharmonic functions are proven. The first result is a Skoda type integrability theorem with respect to a Monge-Ampère mass with Hölder continuous potential. The second one says that locally, a p.s.h. function is kk-Lipschitz outside a set of Lebesgue measure smaller that c/k2c/k^2.

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