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

Ibrahim K. Djire

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arXiv · 1412.6713

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

Ibrahim K. Djire

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Abstract

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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Ibrahim K. Djire. 2014-12-21. A generalization of Poletsky's classical theorem and a characterization of thinness of a subset in $\C^n$. https://arxiv.org/abs/1412.6713

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