<div class="csl-bib-body">
<div class="csl-entry">Haddad, J. E., & Ludwig, M. (2025). Affine Hardy–Littlewood–Sobolev inequalities. <i>Journal of the European Mathematical Society</i>. https://doi.org/10.4171/jems/1648</div>
</div>
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dc.identifier.issn
1435-9855
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/224451
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dc.description.abstract
Sharp affine Hardy–Littlewood–Sobolev inequalities for functions on Rⁿ are established, which are significantly stronger than (and directly imply) the sharp Hardy–Littlewood–Sobolev inequalities by Lieb and by Beckner, Dou, and Zhu. In addition, sharp reverse inequalities for the new inequalities and the affine fractional L² Sobolev inequalities are obtained for log-concave functions on Rⁿ.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
-
dc.language.iso
en
-
dc.publisher
European Mathematical Society - EMS - Publishing House GmbH
-
dc.relation.ispartof
Journal of the European Mathematical Society
-
dc.subject
affine Hardy-Littlewood-Sobolev inequality
en
dc.subject
radial mean body
en
dc.title
Affine Hardy–Littlewood–Sobolev inequalities
en
dc.type
Article
en
dc.type
Artikel
de
dc.contributor.affiliation
Universidad de Sevilla, Spain
-
dc.relation.grantno
P 37030-N
-
dc.type.category
Original Research Article
-
tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
-
tuw.project.title
Anisotrope fraktionelle Perimeter und Riesz-Energien
-
tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Journal of the European Mathematical Society
-
tuw.publication.orgunit
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
tuw.publisher.doi
10.4171/jems/1648
-
dc.date.onlinefirst
2025-05-28
-
dc.identifier.eissn
1435-9863
-
tuw.author.orcid
0000-0002-5228-2236
-
tuw.author.orcid
0000-0002-7389-6720
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wb.sci
true
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.cerifentitytype
Publications
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item.languageiso639-1
en
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item.fulltext
no Fulltext
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item.openairetype
research article
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item.grantfulltext
none
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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crisitem.author.dept
Universidad de Sevilla
-
crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
crisitem.author.orcid
0000-0002-5228-2236
-
crisitem.author.orcid
0000-0002-7389-6720
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
