Plurisubharmonic functions on compact sets
Volume 106 / 2012
Annales Polonici Mathematici 106 (2012), 133-144
MSC: Primary 32U05, 31C10; Secondary 46A55.
DOI: 10.4064/ap106-0-11
Abstract
Poletsky has introduced a notion of plurisubharmonicity for functions defined on compact sets in $\mathbb C^n$. We show that these functions can be completely characterized in terms of monotone convergence of plurisubharmonic functions defined on neighborhoods of the compact.