On Laplace-Carleson embedding theorems
(2013) In Journal of Functional Analysis 264(3). p.783-814- Abstract
- This paper gives embedding theorems for a very general class of weighted Bergman spaces: the results include a number of classical Carleson embedding theorems as special cases. The little Hankel operators on these Bergman spaces are also considered. Next, a study is made of Carleson embeddings in the right half-plane induced by taking the Laplace transform of functions defined on the positive half-line (these embeddings have applications in control theory): particular attention is given to the case of a sectorial measure or a measure supported on a strip, and complete necessary and sufficient conditions for a bounded embedding are given in many cases. (C) 2012 Elsevier Inc. All rights reserved.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3591125
- author
- Jacob, Birgit ; Partington, Jonathan R. and Pott, Sandra LU
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Hardy space, Weighted Bergman space, Laplace transform, Carleson measure
- in
- Journal of Functional Analysis
- volume
- 264
- issue
- 3
- pages
- 783 - 814
- publisher
- Elsevier
- external identifiers
-
- wos:000313760700007
- scopus:84871484920
- ISSN
- 0022-1236
- DOI
- 10.1016/j.jfa.2012.11.016
- language
- English
- LU publication?
- yes
- id
- d4162ac8-6349-4067-b297-6b64652f7a24 (old id 3591125)
- date added to LUP
- 2016-04-01 13:59:11
- date last changed
- 2022-03-29 18:28:34
@article{d4162ac8-6349-4067-b297-6b64652f7a24, abstract = {{This paper gives embedding theorems for a very general class of weighted Bergman spaces: the results include a number of classical Carleson embedding theorems as special cases. The little Hankel operators on these Bergman spaces are also considered. Next, a study is made of Carleson embeddings in the right half-plane induced by taking the Laplace transform of functions defined on the positive half-line (these embeddings have applications in control theory): particular attention is given to the case of a sectorial measure or a measure supported on a strip, and complete necessary and sufficient conditions for a bounded embedding are given in many cases. (C) 2012 Elsevier Inc. All rights reserved.}}, author = {{Jacob, Birgit and Partington, Jonathan R. and Pott, Sandra}}, issn = {{0022-1236}}, keywords = {{Hardy space; Weighted Bergman space; Laplace transform; Carleson measure}}, language = {{eng}}, number = {{3}}, pages = {{783--814}}, publisher = {{Elsevier}}, series = {{Journal of Functional Analysis}}, title = {{On Laplace-Carleson embedding theorems}}, url = {{http://dx.doi.org/10.1016/j.jfa.2012.11.016}}, doi = {{10.1016/j.jfa.2012.11.016}}, volume = {{264}}, year = {{2013}}, }