Title:
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A counterexample to a weak-type estimate for potential spaces and tangential approach regions
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Author:
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Soria de Diego, F. Javier; Svensson, Olof
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. |
Subject(s):
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-Funcions holomorfes -Funcions de diverses variables complexes -Anàlisi funcional -Maximal functions -Singular integrals |
Rights:
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(c) American Mathematical Society, 2004
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Document type:
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Article Article - Published version |
Published by:
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American Mathematical Society
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