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

arxiv: 1205.2542 · v2 · pith:6RDZEWPCnew · submitted 2012-05-11 · 🧮 math.CA · math.FA

On weak^*-convergence in H¹_L(mathbb R^d)

Luong Dang Ky This is my paper

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keywords mathbbconvergenceweakbelongsclassclassicaldeltafunction

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Let $L= -\Delta+ V$ be a Schr\"odinger operator on $\mathbb R^d$, $d\geq 3$, where $V$ is a nonnegative function, $V\ne 0$, and belongs to the reverse H\"older class $RH_{d/2}$. In this paper, we prove a version of the classical theorem of Jones and Journ\'e on weak$^*$-convergence in the Hardy space $H^1_L(\mathbb R^d)$.

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On weak^*-convergence in H¹_L(mathbb R^d)

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