A+ CATEGORY SCIENTIFIC UNIT

The image of a finely holomorphic map is pluripolar

Volume 97 / 2010

Armen Edigarian, Said El Marzguioui, Jan Wiegerinck Annales Polonici Mathematici 97 (2010), 137-149 MSC: 32U15, 31C40. DOI: 10.4064/ap97-2-3

Abstract

We prove that the image of a finely holomorphic map on a fine domain in $\mathbb{C}$ is a pluripolar subset of $\mathbb{C}^{n}$. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.

Authors

  • Armen EdigarianInstitute of Mathematics
    Jagiellonian University
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail
  • Said El MarzguiouiKdV Institute for Mathematics
    University of Amsterdam
    PO box 94248
    1090 GE Amsterdam, The Netherlands
    e-mail
  • Jan WiegerinckKdV Institute for Mathematics
    University of Amsterdam
    PO box 94248
    1090 GE Amsterdam, The Netherlands
    e-mail

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