Compact and Hilbert-Schmidt composition operators on weighted Hardy spaces
Lefèvre, Li, Queffélec, and Rodríguez-Piazza [12] recently characterized the sequences $β$ for which the weighted Hardy space $H^2(β)$ has the same bounded composition operators as the Hardy space $H^2$. We investigate the analogous questions for the compactness and the $p$-Schatten classes: for which sequences $β$ does the space $H^2(β)$ have the same compact or $p$-Schatten class composition operators as $H^2$?
Authors
- Daniel Seco (ORCID: https://orcid.org/0000-0002-1634-2318)
- Francisco J. Cruz-Zamorano (ORCID: https://orcid.org/0000-0002-8659-983X)
- Eugenio Dellepiane (ORCID: https://orcid.org/0009-0005-3432-2053)
Publication Details
- Journal
- arXiv (Cornell University)
- Published
- 2026-10-29
- DOI
- https://doi.org/10.48550/arxiv.2610.40148
- Primary Topic
- Holomorphic and Operator Theory
- Type
- preprint