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Laplace–Carleson embeddings and infinity-norm admissibility

Jacob, Birgit ; Partington, Jonathan R. LU ; Pott, Sandra LU ; Rydhe, Eskil LU orcid and Schwenninger, Felix L. LU (2026) In Analysis and Mathematical Physics 16(4).
Abstract

A full characterization of the boundedness of Laplace–Carleson embeddings on 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.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
46E15, 47D06, 93B28, 93D25, Admissibility, Laplace–Carleson embeddings, Semigroup dynamical systems
in
Analysis and Mathematical Physics
volume
16
issue
4
article number
75
publisher
Springer Science and Business Media B.V.
external identifiers
  • scopus:105041304465
ISSN
1664-2368
DOI
10.1007/s13324-026-01203-9
language
English
LU publication?
yes
id
2131588f-b78d-4c70-bd2e-13f680b34c5f
date added to LUP
2026-07-03 11:44:22
date last changed
2026-07-03 11:44:39
@article{2131588f-b78d-4c70-bd2e-13f680b34c5f,
  abstract     = {{<p>A full characterization of the boundedness of Laplace–Carleson embeddings on 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.</p>}},
  author       = {{Jacob, Birgit and Partington, Jonathan R. and Pott, Sandra and Rydhe, Eskil and Schwenninger, Felix L.}},
  issn         = {{1664-2368}},
  keywords     = {{46E15; 47D06; 93B28; 93D25; Admissibility; Laplace–Carleson embeddings; Semigroup dynamical systems}},
  language     = {{eng}},
  number       = {{4}},
  publisher    = {{Springer Science and Business Media B.V.}},
  series       = {{Analysis and Mathematical Physics}},
  title        = {{Laplace–Carleson embeddings and infinity-norm admissibility}},
  url          = {{http://dx.doi.org/10.1007/s13324-026-01203-9}},
  doi          = {{10.1007/s13324-026-01203-9}},
  volume       = {{16}},
  year         = {{2026}},
}