Non-extendability of holomorphic functions with bounded or continuously extendable derivatives

D. Moschonas, V. Nestoridis

We consider the spaces $H_F^{\infty }(\Omega )$ and ${\mathcal{A}}_F(\Omega )$ containing all holomorphic functions $f$ on an open set $\Omega \subseteq \mathbb{C}$, such that all derivatives $f^{(…