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 ...

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 ...

M.R. DOSTANIĆ, SPECTRAL ESTIMATES FOR THE COMMUTATOR OF TWO-DIMENSIONAL HILBERT TRANSFORMATION AND THE OPERATOR OF MULTIPLICATION WITH A C¹ FUNCTION, The Rocky Mountain Journal of Mathematics, Vol. 34 ...