Laplace-Carleson embeddings and infinity-norm admissibility

Birgit Jacob; Jonathan R. Partington; Sandra Pott; Eskil Rydhe; Felix L. Schwenninger

doi:10.48550/arXiv.2109.11465

Laplace-Carleson embeddings and infinity-norm admissibility

Birgit Jacob, Jonathan R. Partington, Sandra Pott, Eskil Rydhe, Felix L. Schwenninger

Research output: Working paper › Preprint › Academic

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Abstract

New results on the boundedness of Laplace-Carleson embeddings on $L^\infty$ and Orlicz spaces are proved. 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.

Original language	English
Publisher	ArXiv.org
Number of pages	27
DOIs	https://doi.org/10.48550/arXiv.2109.11465
Publication status	Published - 23 Sept 2021

Keywords

math.FA
math.OC
93D25, 93B28, 47D06, 46E15

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10.48550/arXiv.2109.11465Licence: CC BY

2109.11465v2Submitted version, 302 KBLicence: CC BY

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title = "Laplace-Carleson embeddings and infinity-norm admissibility",

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Laplace-Carleson embeddings and infinity-norm admissibility

Abstract

Keywords

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