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On laplace–carleson embeddings, and lp-mapping properties of the fourier transform

Rydhe, Eskil LU (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:
author
organization
publishing date
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
2022-04-19 02:24:38
@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}},
}