Laplace–Carleson embeddings and infinity-norm admissibility
Abstract
Abstract A full characterization of the boundedness of Laplace–Carleson embeddings on $$L^\infty $$ L ∞ is provided, in terms of the Carleson intensity of the respective measure and of a suitable weighted Berezin transform of the measure. Moreover, boundedness results, and in some cases full characterizations of boundedness, are proved for a large class of Orlicz spaces. These findings are crucial for characterizing admissibility of control operators for linear diagonal semigroup systems in a variety of contexts. A particular focus is laid on essentially bounded inputs.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Advanced Mathematical Physics Problems
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Analysis and Mathematical Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 16
- Issue
- 4
- Publication date
- 9 June 2026
- Language
- EN