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

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dc.creator Soria de Diego, F. Javier
dc.creator Svensson, Olof
dc.date 2009-04-15T08:16:29Z
dc.date 2009-04-15T08:16:29Z
dc.date 2004
dc.date.accessioned 2024-12-16T10:18:08Z
dc.date.available 2024-12-16T10:18:08Z
dc.identifier 1088-6826
dc.identifier http://hdl.handle.net/2445/7743
dc.identifier 519953
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/7175
dc.description We 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 7 p.
dc.format application/pdf
dc.language eng
dc.publisher American Mathematical Society
dc.relation Reproducció digital del document publicat a: http://doi.org/10.1090/S0002-9939-04-07621-X
dc.relation Proceedings of the American Mathematical Society, 2004, vol. 133, núm. 4, p. 1093¿1099.
dc.relation http://doi.org/10.1090/S0002-9939-04-07621-X
dc.rights (c) American Mathematical Society, 2004
dc.rights info:eu-repo/semantics/openAccess
dc.source Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject Funcions holomorfes
dc.subject Funcions de diverses variables complexes
dc.subject Anàlisi funcional
dc.subject Maximal functions
dc.subject Singular integrals
dc.title A counterexample to a weak-type estimate for potential spaces and tangential approach regions
dc.type info:eu-repo/semantics/article
dc.type info:eu-repo/semantics/publishedVersion


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