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Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

Partington, Jonathan R. LU ; Pott, Sandra LU and Zawiski, Radosław (2020) In Integral Equations and Operator Theory 92(4).
Abstract

A characterisation is given of bounded embeddings from weighted L2 spaces on bounded intervals into L2 spaces on the half-plane, induced by isomorphisms given by the Laplace transform onto weighted Hardy and Bergman spaces (Zen spaces). As an application necessary and sufficient conditions are given for the boundedness of truncated Hankel and Toeplitz integral operators, including the weighted case, and on model spaces.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Admissibility, Bergman space, Carleson measure, Hardy space, Laplace transform, Model space, Truncated Hankel operator, Truncated Toeplitz operator, Zen space
in
Integral Equations and Operator Theory
volume
92
issue
4
article number
37
publisher
Springer
external identifiers
  • scopus:85088972139
ISSN
0378-620X
DOI
10.1007/s00020-020-02594-5
language
English
LU publication?
yes
id
c936b066-d9e0-49df-9a98-08aa3ce04e2e
date added to LUP
2020-08-12 09:48:01
date last changed
2020-08-19 08:50:43
@article{c936b066-d9e0-49df-9a98-08aa3ce04e2e,
  abstract     = {<p>A characterisation is given of bounded embeddings from weighted L<sup>2</sup> spaces on bounded intervals into L<sup>2</sup> spaces on the half-plane, induced by isomorphisms given by the Laplace transform onto weighted Hardy and Bergman spaces (Zen spaces). As an application necessary and sufficient conditions are given for the boundedness of truncated Hankel and Toeplitz integral operators, including the weighted case, and on model spaces.</p>},
  author       = {Partington, Jonathan R. and Pott, Sandra and Zawiski, Radosław},
  issn         = {0378-620X},
  language     = {eng},
  number       = {4},
  publisher    = {Springer},
  series       = {Integral Equations and Operator Theory},
  title        = {Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators},
  url          = {http://dx.doi.org/10.1007/s00020-020-02594-5},
  doi          = {10.1007/s00020-020-02594-5},
  volume       = {92},
  year         = {2020},
}