A sharp higher order Sobolev embedding
Hindov, Raul LU
; Nitzan, Shahaf
; Olsen, Jan Fredrik
LU
and Rydhe, Eskil
LU
(2025)
In Mathematika
71(2).
- Abstract
We obtain sharp embeddings from the Sobolev space (Formula presented.) into the space (Formula presented.) and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/d1da0c38-381c-42e4-a161-dc891af31983
- author
- Hindov, Raul
LU
; Nitzan, Shahaf
; Olsen, Jan Fredrik
LU
and Rydhe, Eskil
LU
- organization
- publishing date
- 2025-04
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Mathematika
- volume
- 71
- issue
- 2
- article number
- e70012
- pages
- 9 pages
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- scopus:105000368812
- ISSN
- 0025-5793
- DOI
- 10.1112/mtk.70012
- language
- English
- LU publication?
- yes
- additional info
- Publisher Copyright: © 2025 The Author(s). Mathematika is copyright © University College London and published by the London Mathematical Society on behalf of University College London.
- id
- d1da0c38-381c-42e4-a161-dc891af31983
- date added to LUP
- 2025-10-29 13:41:19
- date last changed
- 2025-11-19 10:54:19
@article{d1da0c38-381c-42e4-a161-dc891af31983,
abstract = {{<p>We obtain sharp embeddings from the Sobolev space (Formula presented.) into the space (Formula presented.) and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.</p>}},
author = {{Hindov, Raul and Nitzan, Shahaf and Olsen, Jan Fredrik and Rydhe, Eskil}},
issn = {{0025-5793}},
language = {{eng}},
number = {{2}},
publisher = {{John Wiley & Sons Inc.}},
series = {{Mathematika}},
title = {{A sharp higher order Sobolev embedding}},
url = {{http://dx.doi.org/10.1112/mtk.70012}},
doi = {{10.1112/mtk.70012}},
volume = {{71}},
year = {{2025}},
}