Weighted Differentiation Composition Operators Between Weighted Bergman Spaces on the Upper Half‐Plane
ABSTRACT Let be the upper half‐plane in the complex plane , and be the weighted Bergman space defined on . We characterize the boundedness, compactness, and order boundedness of the weighted differentiation composition operators between weighted Bergman spaces. We also characterize the order boundedness of the finite sums of weighted differentiation composition operators between these spaces.
Authors
- Zhijie Jiang (ORCID: https://orcid.org/0000-0002-8817-2784)
- Stevo Stević
Institutions
- Serbian Academy of Sciences and Arts (RS)
- China Medical University (TW)
- China Medical University Hospital (TW)
- Mathematical Institute of the Serbian Academy of Sciences and Arts
- Sichuan University of Science and Engineering (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2026-04-06
- DOI
- https://doi.org/10.1002/mma.70613
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Sichuan University of Science and Engineering