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 ...

In this paper we give a characterization of two-weighted inequalities for singular operators and their commutators in generalized weighted Morrey spaces on spaces of homogeneous type ℳ ω ρ,φ (X) . We ...

We prove several sharp weighted norm inequalities for commutators of classical operators in harmonic analysis. We find sufficient Ap-bump conditions on pairs of weights (u, v) such that [b, T], b ∊ ...