Hilbert-Schmidt double differences of composition operators over the half plane
In this paper, we obtain a complete characterization for the Hilbert-Schmidt double difference of composition operators on the weighted Bergman spaces over the half plane. Furthermore, we construct an 例 to show that there exists the cancelation phenomenon for the Hilbert-Schmidtness of the degenerate double difference of composition operators over the half plane.
Authors
- Maofa Wang (ORCID: https://orcid.org/0000-0002-7137-4590)
- Guo Xin
- Jingsong Chen (ORCID: https://orcid.org/0000-0002-3152-8030)
Publication Details
- Journal
- Scientia Sinica Mathematica
- Published
- 2024-11-18
- DOI
- https://doi.org/10.1360/ssm-2023-0340
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00