Monge–Ampère measures on subvarieties
https://doi.org/10.1016/j.jmaa.2014.09.061Publisher, magazine: ,
Publication year: 2015
Lưu Trích dẫn Chia sẻAbstract
In this article we address the question whether the complex Monge–Ampère equation is solvable for measures with large singular part. We prove that under some conditions there is no solution when the right-hand side is carried by a smooth subvariety in Cn of dimension k<n.
Tags: Complex Monge–Ampère operator; Dirichlet problem; Pluripolar set; Plurisubharmonic function.