On laplace–carleson embeddings, and lp-mapping properties of the fourier transform
(2020) In Arkiv för Matematik 58(2). p.437-457- Abstract
We investigate so-called Laplace–Carleson embeddings for large exponents. In particular, we extend some results by Jacob, Partington, and Pott. We also discuss some related results for Sobolev-and Besov spaces, and mapping properties of the Fourier transform. These variants of the Hausdorff–Young theorem appear difficult to find in the literature. We conclude the paper with an example related to an open problem.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3cbccba1-3b35-4ac3-aab5-0a3fd74f294b
- author
- Rydhe, Eskil LU
- organization
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Arkiv för Matematik
- volume
- 58
- issue
- 2
- pages
- 21 pages
- publisher
- Springer
- external identifiers
-
- scopus:85095695924
- ISSN
- 0004-2080
- DOI
- 10.4310/ARKIV.2020.v58.n2.a10
- language
- English
- LU publication?
- yes
- id
- 3cbccba1-3b35-4ac3-aab5-0a3fd74f294b
- date added to LUP
- 2020-11-26 13:53:01
- date last changed
- 2024-06-27 03:20:42
@article{3cbccba1-3b35-4ac3-aab5-0a3fd74f294b, abstract = {{<p>We investigate so-called Laplace–Carleson embeddings for large exponents. In particular, we extend some results by Jacob, Partington, and Pott. We also discuss some related results for Sobolev-and Besov spaces, and mapping properties of the Fourier transform. These variants of the Hausdorff–Young theorem appear difficult to find in the literature. We conclude the paper with an example related to an open problem.</p>}}, author = {{Rydhe, Eskil}}, issn = {{0004-2080}}, language = {{eng}}, number = {{2}}, pages = {{437--457}}, publisher = {{Springer}}, series = {{Arkiv för Matematik}}, title = {{On laplace–carleson embeddings, and l<sup>p</sup>-mapping properties of the fourier transform}}, url = {{http://dx.doi.org/10.4310/ARKIV.2020.v58.n2.a10}}, doi = {{10.4310/ARKIV.2020.v58.n2.a10}}, volume = {{58}}, year = {{2020}}, }