3 papers
math.CV2026
On the boundary behavior of bounded analytic functions in the unit disc
Spyros Pasias
In this paper we will deal with problems in approximation theory of bounded analytic functions on the unit disc and their boundary behavior on the unit circle. We will attempt to u…
math.CV2026
Extension of Arakelyan's Theorem
Spyros Pasias
Arakeljan's Theorem provides conditions on a relatively closed subset of a domain , such that any continuous function that is ana…
math.CV2025
A logarithmic characterization of Arakelian sets
Grigorios Fournodavlos, Vassili Nestoridis, Spyros Pasias
Arakelian's classical approximation theorem \cite{Ar} gives necessary and sufficient conditions such that functions can be uniformly approximated in (unbounded) closed sets $F\subs…