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

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dc.creatorSoria, Javier
dc.creatorSvensson, Olof
dc.date2003-09-04
dc.date.accessioned2026-07-07T05:00:50Z
dc.date.available2026-07-07T05:00:50Z
dc.descriptionWe 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.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0309063
dc.identifierhttp://arxiv.org/abs/math/0309063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68462
dc.subjectClassical Analysis and ODEs
dc.subject42B25; 42B20
dc.titleA counterexample to a weak-type estimate for potential spaces and tangential approach regions
dc.typetext

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