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The image of a finely holomorphic map is pluripolar

Armen Edigarian; Said El Marzguioui; Jan Wiegerinck — 2010

Annales Polonici Mathematici

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.

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