5 papers · 1 filter
Some open questions and conjectures about visibility and iteration in bounded convex domains in
Filippo Bracci, Ahmed Yekta Ökten
In this note, we propose some open problems and questions about bounded convex domains in , specifically about visibility and iteration theory.
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…
The Denjoy-Wolff Theorem in simply connected domains
Anna Miriam Benini, Filippo Bracci
We characterize the simply connected domains that exhibit the Denjoy-Wolff Property, meaning that every holomorphic self-map of without fixed points has…
Complete frequencies for Koenigs domains
Filippo Bracci, Eva A. Gallardo-Gutiérrez, Dmitry Yakubovich
We provide a complete characterization of those non-elliptic semigroups of holomorphic self-maps of the unit disc for which the linear span of eigenvectors of the generator of the…
The strong form of the Ahlfors-Schwarz lemma at the boundary and a rigidity result for Liouville's equation
Filippo Bracci, Daniela Kraus, Oliver Roth
We prove a boundary version of the strong form of the Ahlfors-Schwarz lemma with optimal error term. This result provides nonlinear extensions of the boundary Schwarz lemma of Burn…