Pluripolarity of graphs of quasianalytic functions in the sense of Gonchar

Details Pluripolarity of graphs of quasianalytic functions in the sense of Gonchar Pluripolarity of graphs of quasianalytic functions in the sense of Gonchar

2009-10-29

arxiv.org/abs/0910.5662v1

Mathematics

Complex Variables

7 pages

Scientific paper

We study functions defined on a closed segment of the real line that belong
to the class of Gonchar. We show that the graphs of such functions are
pluripolar. We also discuss the generalizations of our result to functions
defined on a compact subset of C^n that belong to the class of Gonchar.

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