Plurisubharmonic functions on compact sets

Rafał Czyż; Lisa Hed; Håkan Persson

Annales Polonici Mathematici (2012)

  • Volume: 106, Issue: 1, page 133-144
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Rafał Czyż, Lisa Hed, and Håkan Persson. "Plurisubharmonic functions on compact sets." Annales Polonici Mathematici 106.1 (2012): 133-144. <http://eudml.org/doc/280258>.

@article{RafałCzyż2012,
abstract = {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.},
author = {Rafał Czyż, Lisa Hed, Håkan Persson},
journal = {Annales Polonici Mathematici},
keywords = {plurisubharmonic functions on compact sets; Jensen measures; monotone convergence},
language = {eng},
number = {1},
pages = {133-144},
title = {Plurisubharmonic functions on compact sets},
url = {http://eudml.org/doc/280258},
volume = {106},
year = {2012},
}

TY - JOUR
AU - Rafał Czyż
AU - Lisa Hed
AU - Håkan Persson
TI - Plurisubharmonic functions on compact sets
JO - Annales Polonici Mathematici
PY - 2012
VL - 106
IS - 1
SP - 133
EP - 144
AB - 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.
LA - eng
KW - plurisubharmonic functions on compact sets; Jensen measures; monotone convergence
UR - http://eudml.org/doc/280258
ER -

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