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

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dc.contributor	Universitat de Barcelona
dc.contributor.author	Soria de Diego, F. Javier
dc.contributor.author	Svensson, Olof
dc.date	2009-04-15T08:16:29Z
dc.date	2009-04-15T08:16:29Z
dc.date	2004
dc.identifier.citation	1088-6826
dc.identifier.citation	519953
dc.identifier.uri	http://hdl.handle.net/2445/7743
dc.format	7 p.
dc.format	application/pdf
dc.language.iso	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.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
dc.description.abstract	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.