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arXiv · 1205.2542

On weak$^*$-convergence in $H^1_L(\mathbb R^d)$

Luong Dang Ky
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Abstract

Let $L= -Δ+ V$ 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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Luong Dang Ky. 2013-02-16. On weak$^*$-convergence in $H^1_L(\mathbb R^d)$. https://arxiv.org/abs/1205.2542

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