The class of functions for which the commutator with the Hardy-Littlewood maximal function or the maximal sharp function are bounded on Lq are characterized and proved to be the same. Journal ...
Under the assumption that μ is a non-doubling measure on ℝd, the authors obtain the boundedness of commutators generated by Calderón-Zygmund operators or fractional integrals with Lipschitz functions ...
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 ...