Higher Singular Integrals

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Camil Muscalu , Cornell University

There is a very natural way to extend Calder\'{o}n's calculations which generated his commutators and the Cauchy integral on Lipschitz curves, to include operators of multiplication with functions of arbitrary polynomial growth. The plan of the talk is to describe some examples of such calculations, and to focus on a particular case that goes beyond the classical Calder\'{o}n program."