English

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

Complex Variables 2014-12-23 v1

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\C^n in term of analytic discs.

Keywords

Cite

@article{arxiv.1412.6713,
  title  = {A generalization of Poletsky's classical theorem and a characterization of thinness of a subset in $\C^n$},
  author = {Ibrahim K. Djire},
  journal= {arXiv preprint arXiv:1412.6713},
  year   = {2014}
}