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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| HAL: hal-00401712, version 2 |
| arXiv: 0907.0744 |
| DOI: 10.1016/j.jfa.2010.04.004 |
| Detailed view |  Export this paper |
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| Journal of Functional Analysis 259 (2010) 384-427 |
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| Available versions: | v2 (2010-05-28) |
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| Hardy spaces of the conjugate Beltrami equation |
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| Laurent Baratchart 1Juliette Leblond 1 |
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| (2010-04-28) |
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| We study Hardy spaces of solutions to the conjugate Beltrami equation with Lipschitz coefficient on Dini-smooth simply connected planar domains, in the range of exponents $1<\infty$. We analyse their boundary behaviour and certain density properties of their traces. We derive on the way an analog of the Fatou theorem for the Dirichlet and Neumann problems associated with the equation $\mbox{div}(\sigma\nabla u)=0$ with $L^p$-boundary data. |
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| 1: | APICS (INRIA Sophia Antipolis) |
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INRIA |
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| 2: | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| Subject | : | Mathematics/Complex Variables Mathematics/Analysis of PDEs |
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| hal-00401712, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00401712 | |
| oai:hal.archives-ouvertes.fr:hal-00401712 | |
| From: Emmanuel Russ | |
| Submitted on: Friday, 12 March 2010 16:20:03 | |
| Updated on: Thursday, 22 July 2010 10:24:11 | |
