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 ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

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 ...