The image of a finely holomorphic map is pluripolar

Armen Edigarian; Said El Marzguioui; Jan Wiegerinck

Annales Polonici Mathematici (2010)

  • Volume: 97, Issue: 2, page 137-149
  • ISSN: 0066-2216

Abstract

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We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.

How to cite

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Armen Edigarian, Said El Marzguioui, and Jan Wiegerinck. "The image of a finely holomorphic map is pluripolar." Annales Polonici Mathematici 97.2 (2010): 137-149. <http://eudml.org/doc/280656>.

@article{ArmenEdigarian2010,
abstract = {We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.},
author = {Armen Edigarian, Said El Marzguioui, Jan Wiegerinck},
journal = {Annales Polonici Mathematici},
keywords = {finely holomorphic functions; pluripolar sets},
language = {eng},
number = {2},
pages = {137-149},
title = {The image of a finely holomorphic map is pluripolar},
url = {http://eudml.org/doc/280656},
volume = {97},
year = {2010},
}

TY - JOUR
AU - Armen Edigarian
AU - Said El Marzguioui
AU - Jan Wiegerinck
TI - The image of a finely holomorphic map is pluripolar
JO - Annales Polonici Mathematici
PY - 2010
VL - 97
IS - 2
SP - 137
EP - 149
AB - We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.
LA - eng
KW - finely holomorphic functions; pluripolar sets
UR - http://eudml.org/doc/280656
ER -

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