Some properties of plurisubharmonic functions
Complex Variables
2014-09-30 v1
Abstract
Two properties of plurisubharmonic functions are proven. The first result is a Skoda type integrability theorem with respect to a Monge-Amp\`ere mass with H\"older continuous potential. The second one says that locally, a p.s.h. function is -Lipschitz outside a set of Lebesgue measure smaller that .
Cite
@article{arxiv.1409.8145,
title = {Some properties of plurisubharmonic functions},
author = {Alano Ancona and Lucas Kaufmann},
journal= {arXiv preprint arXiv:1409.8145},
year = {2014}
}
Comments
18 pages