Some estimates for singular integrals associated with Schrödinger operators on weighted Hardy spaces

Details Some estimates for singular integrals associated with Schrödinger operators on weighted Hardy spaces Some estimates for singular integrals associated with Schrödinger operators on weighted Hardy spaces

2011-03-09

arxiv.org/abs/1103.1821v1

Mathematics

Classical Analysis and ODEs

11 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, by using the atomic decomposition theory of weighted Hardy spaces $H^p_L(w)$($n/{(n+1)}

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