Calderón commutators and the Cauchy integral on Lipschitz curves revisited III. Polydisc extensions

Abstract

This article is the last in a series of three papers, whose aim is to give new proofs of the well-known theorems of Calderón, Coifman, McIntosh and Meyer ([1], [3] and [4]). Here we extend the results of the previous two papers to the polydisc setting. In particular, we solve completely a question of Coifman open since the nineteen-eighties.