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Let $L=-Delta+V$ be a Schr"{o}dinger operator on $mathbb{R}^n$ ($n geq 3$) , where $V
ot equiv 0$ is a nonnegative potential belonging to certain reverse H"{o}lder class $B_s$ for $s geq n$. The Hardy type spaces $H_L^p, rac{n}{n+delta}<pleq 1$ for some $delta >0$, are defined in terms of the maximal function with respect to the semigroup ${e^{-tL} }_{t>0}$. In this article, we investigate the boundedness of some integral operator related to $L$, such as $VL^{-1}$, $Delta L^{-1}$ and $
abla^2 L^{-1}$, on spaces $H_L^p(mathbb{R}^n)$. |
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Keywords:Hardy space; molecule;reverse H\"{o}lder class;Schrodinger operator;Riesz transform |
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