arXiv math/04023812004-02-23math.CVmath.CA

Quasianalyticity and pluripolarity

Dan Coman, Norman Levenberg, Evgeny A. Poletsky

英文摘要：

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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