, Volume 266, Issue 1, pp 141-168

Hardy spaces associated to the Schrödinger operator on strongly Lipschitz domains of \({\mathbb{R}^d}\)

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Abstract

Let L = −Δ + V be a Schrödinger operator and Ω be a strongly Lipschitz domain of \({\mathbb R^{d}}\) , where Δ is the Laplacian on \({\mathbb R^{d}}\) and the potential V is a nonnegative polynomial on \({\mathbb R^{d}}\) . In this paper, we investigate the Hardy spaces on Ω associated to the Schrödinger operator L.