Plurisubharmonic functions on compact sets

• Autorzy: Rafał Czyż , Lisa Hed , Håkan Persson
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46A55: Convex sets in topological linear spaces; Choquet theory
• 31C10: Pluriharmonic and plurisubharmonic functions
• 32U05: Plurisubharmonic functions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 106
• Numer: 1
• Strony: 133-144

Daty

wydano

2012

Twórcy

autor

Rafał Czyż

• Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

autor

Lisa Hed

• Department of Mathematics and Mathematical Statistics, Umeå University, SE-901 87 Umeå, Sweden

autor

Håkan Persson

• Department of Mathematics, Uppsala University, SE-751 06 Uppsala, Sweden

Identyfikatory

DOI

10.4064/ap106-0-11