Bounded composition operators on de Branges-Rovnyak spaces
Abstract
We study bounded composition operators acting on de Branges--Rovnyak spaces from the viewpoint of reproducing kernel Hilbert spaces.Using kernel domination and Schur product techniques, we obtain sufficient conditions for the boundedness of composition operators between de Branges--Rovnyak spaces. This kernel-based approach also extends naturally to weighted composition operators, yielding boundedness results that generalize known results for model spaces and recover earlier work as special cases. This manuscript has been submitted for publication.
Fields of Study & Subjects
Holomorphic and Operator Theory
Spectral Theory in Mathematical Physics
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 8 February 2026
- Language
- EN
- Document type
- Preprint