Boundedness of singular integrals on Hardy type spaces associated with Schrödinger operators (Q492531)

\(L=-\Delta+V\) be a Schrödinger operator on \(\mathbb{R}^n\), \(n\geq3\), where \(V\not\equiv0\) is a nonnegative potential belonging to the reverse Hölder class \(B_q\) for some \(q\in[n/2,\infty)\). In this paper, the authors establish the molecular characterization for the Hardy type space \(H^p_L\), \(p\in(n/(n+\delta),1]\) for some \(\delta\in(0,\infty)\), associated with \(L\). As an application, the authors obtain the \(H^p_L\)-boundedness of the singular integrals \(L^{i\gamma}\) and \(\nabla L^{-1/2}\) related to \(L\).