Riesz Transforms of Schrödinger Operators on Manifolds

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Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates (2013, background): “(iv) the Schrödinger operator −∆ + V on Rn with the suitable real potential V as in [3]; (v) the nonnegative self-adjoint operators satisfying Gaussian upper bounds, namely, there exist positive constants C and c such that, for all x, y ∈ X and t ∈ (0,∞), |pt(x, y)| ≤ C V (x, t1/2m) exp { −c [d(x, y”