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Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail

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dc.contributor.authorBrezis, Haim
dc.contributor.authorVan Schaftingen, Jean
dc.contributor.authorYung, Po-Lam
dc.date.accessioned2023-05-22T05:03:00Z
dc.date.issued2021-06-29
dc.date.updated2022-03-20T07:17:26Z
dc.description.abstractIn the cases where there is no Sobolev-type or Gagliardo–Nirenberg-type fractional estimate involving |u|Wsp, we establish alternative estimates where the strong Lp norms are replaced by Lorentz norms.en_AU
dc.description.sponsorshipP-L. Yung was partially supported by a Future Fellowship FT200100399 from the Australian Research Council.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.citationBrezis, H., Van Schaftingen, J. & Yung, PL. Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Calc. Var. 60, 129 (2021). https://doi.org/10.1007/s00526-021-02001-wen_AU
dc.identifier.issn0944-2669en_AU
dc.identifier.urihttp://hdl.handle.net/1885/292095
dc.language.isoen_AUen_AU
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/7878..."Author Accepted Manuscript can be made open access on institutional repository after 12 month embargo with respect to publisher guidelines https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms" from SHERPA/RoMEO site (as at 22.5.2023).
dc.publisherSpringeren_AU
dc.relationhttp://purl.org/au-research/grants/arc/FT200100399en_AU
dc.rights© 2021 The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Natureen_AU
dc.sourceCalculus of Variations and Partial Differential Equationsen_AU
dc.titleGoing to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates failen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Access
dcterms.dateAccepted2021-04-27
local.bibliographicCitation.issue4en_AU
local.bibliographicCitation.lastpage12en_AU
local.bibliographicCitation.startpage1en_AU
local.contributor.affiliationBrezis, Haim, Rutgers Universityen_AU
local.contributor.affiliationVan Schaftingen, Jean, Universite Catholique de Louvainen_AU
local.contributor.affiliationYung, Po Lam, College of Science, ANUen_AU
local.contributor.authoruidYung, Po Lam, u1091065en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor490406 - Lie groups, harmonic and Fourier analysisen_AU
local.identifier.absseo280118 - Expanding knowledge in the mathematical sciencesen_AU
local.identifier.ariespublicationa383154xPUB20035en_AU
local.identifier.citationvolume60en_AU
local.identifier.doi10.1007/s00526-021-02001-wen_AU
local.identifier.scopusID2-s2.0-85108895674
local.publisher.urlhttps://link.springer.com/en_AU
local.type.statusAccepted Versionen_AU

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