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| HAL: hal-00696432, version 1 |
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| On weak$^*$-convergence in $H^1_L(\mathbb R^d)$ |
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| Luong Dang Ky 1 |
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| (2012-05-11) |
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| Let $L= -\Delta+ V$ be a Schrödinger operator on $\mathbb R^d$, $d\geq 3$, where $V$ is a nonnegative function, $V\ne 0$, and belongs to the reverse Hölder class $RH_{d/2}$. In this paper, we prove a version of the classical theorem of Jones and Journé on weak$^*$-convergence in the Hardy space $H^1_L(\mathbb R^d)$. |
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| 1: | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
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Université d'Orléans – CNRS : UMR7349 |
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| Subject | : | Mathematics/Classical Analysis and ODEs Mathematics/Functional Analysis |
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| weak$^*$-convergence – Schrödinger operator – Hardy space – VMO |
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| Attached file list to this document: | ||||||||||
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| hal-00696432, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00696432 | |
| oai:hal.archives-ouvertes.fr:hal-00696432 | |
| From: Luong Dang Ky | |
| Submitted on: Friday, 11 May 2012 16:32:17 | |
| Updated on: Friday, 11 May 2012 19:56:01 | |
