Quasianalyticity and pluripolarity

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We show that the graph $$Γ_f=\{(z,f(z))\in{\Bbb C}^2: z\in S\}$$ in ${\Bbb C}^2$ of a function $f$ on the unit circle $S$ which is either continuous and quasianalytic in the sense of Bernstein or $C^\infty$ and quasianalytic in the sense of Denjoy is pluripolar.

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Complex Variables, Classical Analysis and ODEs, 26E10; 32U20; 32U35; 32U15; 32U05

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http://salesiana.dossiersoluciones.com/handle/123456789/70254

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402381
 http://arxiv.org/abs/math/0402381

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arXiv