Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 281
On Compositional dynamics on spaces of analytic functions
Noureddine Karim, Mohamed Amouch
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 29, 2022
March 03, 2244
April 15, 2244

Abstract: In this work, we investigate super-recurrence, super-rigidity, and uniformly super-rigidity of composition operators acting on $H(\Omega)$ the space of holomorphic functions on $\Omega$, where $\Omega$ is either the whole complex plane $\mathbb{C}$ or the punctured plane $\mathbb{C}\backslash\{0\}$. We deduce the form of the symbol $\phi$ that generates a super-recurrent, super-rigid, uniformly super-rigid composition operator $C_\phi$ acting on $H(\Omega)$.