Schrödinger operators, typically formulated as −Δ + V where Δ denotes the Laplacian and V a potential function, are central to quantum mechanics and spectral theory. A key focus in recent ...

Journal of Operator Theory, Vol. 70, No. 1 (Summer 2013), pp. 109-144 (36 pages) We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption principle for ...

We prove that the operator norm on weighted Lebesgue space L2(w) of the commutators of the Hilbert, Riesz and Beurling transforms with a BMO function b depends quadratically on the A2-characteristic ...