Plurisubharmonic functions on compact sets

Plurisubharmonic functions on compact sets

Poletsky has introduced a notion of plurisubharmonicity for functions defined on compact sets in 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.

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Veröffentlicht in:Annales Polonici mathematici 2012, Vol.106, p.133-144
Hauptverfasser: Czyż, Rafał, Hed, Lisa, Persson, Håkan
Format: Artikel
Sprache:eng
Schlagworte:
Jensen measures
monotone convergence
plurisubharmonic functions on compacts
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Zusammenfassung:Poletsky has introduced a notion of plurisubharmonicity for functions defined on compact sets in 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.
ISSN:0066-2216
1730-6272
1730-6272
DOI:10.4064/ap106-0-11