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arxiv: 1412.6713 · v1 · pith:IOK5TFMUnew · submitted 2014-12-21 · 🧮 math.CV

A generalization of Poletsky's classical theorem and a characterization of thinness of a subset in C^n

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keywords characterizationclassicalpoletskysubsettheoremthinnessanalyticdiscs
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In this paper we generalize Poletsky's classical theorem to a situation where the kernel of Poisson functional is not upper semicontinuous. We give a characterization of thinness of a subset at a point in $\C^n$ in term of analytic discs.

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