Laplace-Carleson embeddings and infinity-norm admissibility
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866918441475112960 |
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| author | Jacob, Birgit Partington, Jonathan R. Pott, Sandra Rydhe, Eskil Schwenninger, Felix L. |
| author_facet | Jacob, Birgit Partington, Jonathan R. Pott, Sandra Rydhe, Eskil Schwenninger, Felix L. |
| contents | A full characterization of the boundedness of Laplace--Carleson embeddings on $L^\infty$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_11465 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Laplace-Carleson embeddings and infinity-norm admissibility Jacob, Birgit Partington, Jonathan R. Pott, Sandra Rydhe, Eskil Schwenninger, Felix L. Functional Analysis Optimization and Control 93D25, 93B28, 47D06, 46E15 A full characterization of the boundedness of Laplace--Carleson embeddings on $L^\infty$ 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. |
| title | Laplace-Carleson embeddings and infinity-norm admissibility |
| topic | Functional Analysis Optimization and Control 93D25, 93B28, 47D06, 46E15 |
| url | https://arxiv.org/abs/2109.11465 |