Boundary relative extremal functions
We give alternative definitions of the boundary relative extremal function and show that Edwards' theorem does not hold in open sets.
math.CV↗
arXiv subjects
Ibrahim K. Djire
Publications and source records attributed to Ibrahim K. Djire.
Characterizations of boundary pluripolar Hulls
We present some basic properties of the boundary relative extremal function and discuss so called boundary pluripolar sets and boundary pluripolar hulls. We show that for B-regular domains the boundary pluripolar hull is always trivial on the boundary of the domain and present a "boundary version" of Zeriahi's theorem on the completeness of pluripolar sets.
math.CV↗
A generalization of Poletsky's classical theorem and a characterization of thinness of a subset in $\C^n$
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.
math.CV↗