3 papers
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.CV2024
Visible -smooth domains are pseudoconvex
Nikolai Nikolov, Ahmed Yekta Ökten, Pascal J. Thomas
We show that a domain that satisfies the visibility property with -smooth boundary is pseudoconvex.
math.CV2022
Strong localizations of the Kobayashi distance
Nikolai Nikolov, Ahmed Yekta Ökten
Recently, the visibility property of Kobayashi (almost) geodesics has been used to provide localizations of the Kobayashi distance. In this note, we provide sufficient growth condi…