On Riesz transforms characterization of H^1 spaces associated with some Schrödinger operators

Jacek Dziubański, Marcin Preisner

Let Lf(x)=-Δf(x) + V(x)f(x), V\geq 0, V\in L^1_{loc}(R^d), be a non-negative self-adjoint Schrödinger operator on R^d. We say that an L^1-function f belongs to the Hardy space H^1_…