A generalization of Poletsky's classical theorem and a characterization of thinness of a subset in \Cⁿ

2014/12/20 by Ibrahim K. Djire, Djire, Ibrahim K.
Mathematics · #Advanced Banach Space Theory #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Point processes and geometric inequalities #math.CV

paper · pdf · doi:10.48550/arxiv.1412.6713

openalex publication_date 2014/12/20 · arxiv created 2014/12/21 · arxiv updated 2014/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \Cⁿ in term of analytic discs.

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