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

2012/05/11 by Ky, Luong Dang
#42B35 #46E15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1205.2542

Abstract

Let L= -Δ+ V be a Schrödinger operator on \mathbb R^d, d≥ 3, where V is a nonnegative function, V≠ 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 H¹_L(\mathbb R^d).

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