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On weak$^*$-convergence in $H^1_L(\mathbb R^d)$
Ky L. D.
http://hal.archives-ouvertes.fr/hal-00696432
Preprint, Working Paper, ...
Mathematics/Classical Analysis and ODEs
Mathematics/Functional Analysis
On weak$^*$-convergence in $H^1_L(\mathbb R^d)$
Luong Dang Ky () 1
1:  Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
http://www.univ-orleans.fr/mapmo/
Université d'Orléans – CNRS : UMR7349
Fédération Denis Poisson, Bâtiment de Mathématiques, B.P. 6759, 45067 Orléans cedex 2
France
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 $H^1_L(\mathbb R^d)$.
English

weak$^*$-convergence – Schrödinger operator – Hardy space – VMO

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