Pluripolarity of graphs of quasianalytic functions in the sense of Gonchar

2009/10/29 by Sevdiyor Imomkulov, Imomkulov, Sevdiyor, Zafar Ibragimov +1
Mathematics · #32U15 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32U15

paper · pdf · doi:10.48550/arxiv.0910.5662

7 pages

arxiv created 2009/10/29 · arxiv updated 2009/12/01

Abstract

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 Cⁿ that belong to the class of Gonchar.

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