Commutators with Lipschitz Functions and Nonintegral Operators

Abstract EN

Let T be a singular nonintegral operator; that is, it does not have an integral representation by a kernel with size estimates, even rough.

In this paper, we consider the boundedness of commutators with T and Lipschitz functions.

Applications include spectral multipliers of self-adjoint, positive operators, Riesz transforms of second-order divergence form operators, and fractional power of elliptic operators.