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Quasianalyticity and pluripolarity

Dan Coman·Norman Levenberg·Evgeny A. Poletsky
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Abstract

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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Dan Coman, Norman Levenberg, Evgeny A. Poletsky. 2004-02-23. Quasianalyticity and pluripolarity. https://arxiv.org/abs/math/0402381

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