Plurisubharmonic functions on compact sets

Tom 106 / 2012

Rafał Czyż, Lisa Hed, Håkan Persson Annales Polonici Mathematici 106 (2012), 133-144 MSC: Primary 32U05, 31C10; Secondary 46A55. DOI: 10.4064/ap106-0-11

Streszczenie

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.

Autorzy

  • Rafał CzyżFaculty of Mathematics and Computer Science
    Jagiellonian University
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail
  • Lisa HedDepartment of Mathematics and Mathematical Statistics
    Umeå University
    SE-901 87 Umeå, Sweden
    e-mail
  • Håkan PerssonDepartment of Mathematics
    Uppsala University
    SE-751 06 Uppsala, Sweden
    e-mail

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