Filippo Bracci

collaborators

4 papers

math.CV2025

Some open questions and conjectures about visibility and iteration in bounded convex domains in $C^{N}$

Filippo Bracci, Ahmed Yekta Ökten

In this note, we propose some open problems and questions about bounded convex domains in $C^{N}$ , specifically about visibility and iteration theory.

math.CV2025

On the failure of the Denjoy-Wolff Theorem in convex domains

Filippo Bracci, Ahmed Yekta Ökten

In this note, we construct examples of bounded smooth convex domains with no non-trivial analytic discs on the boundary which possess a holomorphic self-map without fixed points so…

math.FA2024

Invariant subspaces for finite index shifts in Hardy spaces

Filippo Bracci, Eva A. Gallardo-Gutiérrez

Let $H$ be the finite direct sums of $H^{2} (D)$ . In this paper, we give a characterization of the closed subspaces of $H$ which are invariant under the shift,…

math.CV2024

The Denjoy-Wolff Theorem in simply connected domains

Anna Miriam Benini, Filippo Bracci

We characterize the simply connected domains $Ω ⊊ C$ that exhibit the Denjoy-Wolff Property, meaning that every holomorphic self-map of $Ω$ without fixed points has…

Some open questions and conjectures about visibility and iteration in bounded convex domains in CN

On the failure of the Denjoy-Wolff Theorem in convex domains

Invariant subspaces for finite index shifts in Hardy spaces

The Denjoy-Wolff Theorem in simply connected domains

Some open questions and conjectures about visibility and iteration in bounded convex domains in $C^{N}$