The boundedness of some singular integral operators on weighted Hardy spaces associated with Schrödinger operators

Details The boundedness of some singular integral operators on weighted Hardy spaces associated with Schrödinger operators The boundedness of some singular integral operators on weighted Hardy spaces associated with Schrödinger operators

2011-03-24

arxiv.org/abs/1103.4752v1

Mathematics

Classical Analysis and ODEs

21 pages

Scientific paper

Let $L=-\Delta+V$ be a Schr\"odinger operator acting on $L^2(\mathbb R^n)$, $n\ge1$, where $V\not\equiv 0$ is a nonnegative locally integrable function on $\mathbb R^n$. In this paper, we first define molecules for weighted Hardy spaces $H^p_L(w)$($0

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