On the convergence of boundary points for hyperbolic inner functions
Abstract
Abstract Given a hyperbolic inner function with Denjoy–Wolff point , it is well‐known that almost every point converges to under iteration of the radial extension . We provide explicit bounds for the rate of this convergence in terms of the angular derivative, holding almost surely. Our results also cover the case where the Denjoy–Wolff point is a singularity.
Fields of Study & Subjects
Holomorphic and Operator Theory
Analytic and geometric function theory
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 10
- Publication date
- 18 September 2026
- Language
- EN