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http://hdl.handle.net/2445/7743| Title: | A counterexample to a weak-type estimate for potential spaces and tangential approach regions |
| Author: | Soria de Diego, F. Javier Svensson, Olof |
| Keywords: | Funcions holomorfes Funcions de diverses variables complexes Anàlisi funcional Maximal functions Singular integrals |
| Issue Date: | 2004 |
| Publisher: | American Mathematical Society |
| 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. |
| Note: | Reproducció digital del document publicat a: http://doi.org/10.1090/S0002-9939-04-07621-X |
| It is part of: | Proceedings of the American Mathematical Society, 2004, vol. 133, núm. 4, p. 1093¿1099. |
| URI: | http://hdl.handle.net/2445/7743 |
| Related resource: | http://doi.org/10.1090/S0002-9939-04-07621-X |
| ISSN: | 1088-6826 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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|---|---|---|---|---|
| 519953.pdf | 162.58 kB | Adobe PDF | View/Open |
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