A counterexample to a weak-type estimate for potential spaces and tangential approach regions

dc.contributor.authorSoria de Diego, F. Javiercat
dc.contributor.authorSvensson, Olofcat
dc.date.accessioned2009-04-15T08:16:29Z
dc.date.available2009-04-15T08:16:29Z
dc.date.issued2004cat
dc.description.abstractWe show that for every nontrivial potential space $L^{1}_{K}(\mathbb{R}^{n})$, there exists an approach region for which the associated maximal function is of weak-type, but the boundedness for the completed region is false, which is in contrast with the nontangential case.
dc.format.extent7 p.cat
dc.format.mimetypeapplication/pdfeng
dc.identifier.idgrec519953cat
dc.identifier.issn1088-6826cat
dc.identifier.urihttps://hdl.handle.net/2445/7743
dc.language.isoengeng
dc.publisherAmerican Mathematical Societycat
dc.relation.isformatofReproducció digital del document publicat a: http://doi.org/10.1090/S0002-9939-04-07621-Xcat
dc.relation.ispartofProceedings of the American Mathematical Society, 2004, vol. 133, núm. 4, p. 1093¿1099.cat
dc.relation.urihttp://doi.org/10.1090/S0002-9939-04-07621-X
dc.rights(c) American Mathematical Society, 2004cat
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationFuncions holomorfescat
dc.subject.classificationFuncions de diverses variables complexescat
dc.subject.classificationAnàlisi funcionalcat
dc.subject.otherMaximal functionseng
dc.subject.otherSingular integralseng
dc.titleA counterexample to a weak-type estimate for potential spaces and tangential approach regionseng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typeinfo:eu-repo/semantics/publishedVersion

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