Shadowing phenomenon for composition operators on the Hardy space $H^2(\mathbb{D})$

Artur Blois; Ben Hur Eidt; Paulo Igor Lupatini; Osmar Rogerio Reis Severiano

doi:10.4153/s000843952610280x

Shadowing phenomenon for composition operators on the Hardy space $H^2(\mathbb{D})$

Canadian Mathematical Bulletin 2026 Open access

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Authors: Artur Blois, Ben Hur Eidt, Paulo Igor Lupatini, Osmar Rogerio Reis Severiano

DOI: 10.4153/s000843952610280x

Cited by: 0

References: 1

Abstract

Let 𝜙 be a holomorphic self-map of the open unit disk D. In this article, we study the shadowing phenomenon for composition operators 𝐶 𝜙 𝑓 = 𝑓 • 𝜙 on the Hardy space 𝐻 2 (D).We characterize all the composition operators induced by linear fractional self-maps of D that have the positive shadowing property.

Fields of Study & Subjects

Holomorphic and Operator Theory Mathematical Dynamics and Fractals Analytic and geometric function theory

Publication details

Journal / source: Canadian Mathematical Bulletin
Pages: 1–18
Publication date: 6 November 2026
Language: EN

References 1