On a Monge-Amp\`ere operator for plurisubharmonic functions with analytic singularities
Complex Variables
2017-11-21 v3
Abstract
We study continuity properties of generalized Monge-Amp\`ere operators for plurisubharmonic functions with analytic singularities. In particular, we prove continuity for a natural class of decreasing approximating sequences. We also prove a formula for the total mass of the Monge-Amp\`ere measure of such a function on a compact K\"ahler manifold.
Cite
@article{arxiv.1705.09274,
title = {On a Monge-Amp\`ere operator for plurisubharmonic functions with analytic singularities},
author = {Mats Andersson and Zbigniew Błocki and Elizabeth Wulcan},
journal= {arXiv preprint arXiv:1705.09274},
year = {2017}
}