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Uhlenbeck’s Decomposition in Sobolev and Morrey–Sobolev Spaces

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cris.lastimport.scopus2024-02-12T19:50:27Z
dc.abstract.enWe present a self-contained proof of Rivière’s theorem on the existence of Uhlenbeck’s decomposition for Ω∈Lp(Bn,so(m)⊗Λ1Rn) for p∈(1,n), with Sobolev type estimates in the case p∈[n/2,n) and Morrey–Sobolev type estimates in the case p∈(1,n/2). We also prove an analogous theorem in the case when Ω∈Lp(Bn,TCO+(m)⊗Λ1Rn), which corresponds to Uhlenbeck’s decomposition with conformal gauge group.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorZatorska-Goldstein, Anna
dc.contributor.authorGoldstein, Paweł
dc.date.accessioned2024-01-26T11:17:52Z
dc.date.available2024-01-26T11:17:52Z
dc.date.copyright2018-05-03
dc.date.issued2018
dc.description.accesstimeAT_PUBLICATION
dc.description.financeNie dotyczy
dc.description.number2
dc.description.versionFINAL_PUBLISHED
dc.description.volume73
dc.identifier.doi10.1007/S00025-018-0830-9
dc.identifier.issn1422-6383
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/124067
dc.identifier.weblinkhttps://link.springer.com/content/pdf/10.1007/s00025-018-0830-9.pdf
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofResults in Mathematics
dc.relation.pages71:1-71:31
dc.rightsCC-BY
dc.sciencecloudnosend
dc.titleUhlenbeck’s Decomposition in Sobolev and Morrey–Sobolev Spaces
dc.typeJournalArticle
dspace.entity.typePublication