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| HAL: hal-00344706, version 4 |
| arXiv: 0812.1146 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2008-12-05) | v2 (2009-09-22) | v3 (2009-12-09) | v4 (2010-05-28) |
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| Sobolev spaces on multiple cones |
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| Pascal Auscher 1Nadine Badr 2 |
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| (2008-12-05) |
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| The purpose of this note is to discuss how various Sobolev spaces defined on multiple cones behave with respect to density of smooth functions, interpolation and extension/restriction to/from $\RR^n$. The analysis interestingly combines use of Poincaré inequalities and of some Hardy type inequalities. |
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| 1: | Laboratoire de Mathématiques d'Orsay (LM-Orsay) |
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CNRS : UMR8628 – Université Paris XI - Paris Sud |
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| 2: | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Subject | : | Mathematics/Classical Analysis and ODEs Mathematics/Functional Analysis Mathematics/Metric Geometry |
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| Sobolev spaces – Poincaré inequality – Doubling property – Metric-measure spaces – Calderón-Zygmund decomposition. |
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| Attached file list to this document: | ||||||||||
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| hal-00344706, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00344706 | |
| oai:hal.archives-ouvertes.fr:hal-00344706 | |
| From: Pascal Auscher | |
| Submitted on: Wednesday, 19 May 2010 05:47:21 | |
| Updated on: Friday, 28 May 2010 10:54:06 | |
