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 ...

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 ...

We show that the product BMO space can be characterized by iterated commutators of a large class of Calderón–Zygmund operators. This result follows from a new proof of boundedness of iterated ...