Shadowing phenomenon for composition operators on the Hardy space $H^2(\mathbb{D})$
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.
Authors
- Osmar Rogerio Reis Severiano (ORCID: https://orcid.org/0000-0001-8188-5418)
- Paulo Igor Lupatini (ORCID: https://orcid.org/0000-0003-0338-6108)
- Ben Hur Eidt
- Artur Blois (ORCID: https://orcid.org/0009-0005-2620-5009)
Publication Details
- Journal
- Canadian Mathematical Bulletin
- Published
- 2026-11-06
- DOI
- https://doi.org/10.4153/s000843952610280x
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior