Poletsky has introduced a notion of plurisubharmonicity for functions defined on compact sets in ℂⁿ. We show that these functions can be completely characterized in terms of monotone convergence of plurisubharmonic functions defined on neighborhoods of the compact.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-11, author = {Rafa\l\ Czy\.z and Lisa Hed and H\aa kan Persson}, title = {Plurisubharmonic functions on compact sets}, journal = {Annales Polonici Mathematici}, volume = {105}, year = {2012}, pages = {133-144}, zbl = {1288.32045}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-11} }
Rafał Czyż; Lisa Hed; Håkan Persson. Plurisubharmonic functions on compact sets. Annales Polonici Mathematici, Tome 105 (2012) pp. 133-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-11/