Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/c936b066-d9e0-49df-9a98-08aa3ce04e2e
- author
- Partington, Jonathan R. LU ; Pott, Sandra LU and Zawiski, Radosław
- organization
- publishing date
- 2020
- 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
- 2022-04-19 00:18:20
@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}}, keywords = {{Admissibility; Bergman space; Carleson measure; Hardy space; Laplace transform; Model space; Truncated Hankel operator; Truncated Toeplitz operator; Zen space}}, 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}}, }