Calderón commutators and the Cauchy integral on Lipschitz curves revisited I. First commutator and generalizations

Abstract

This article is the first in a series of three papers, whose aim is to give new proofs to the well-known theorems of Calderón, Coifman, McIntosh and Meyer [2], [4] and 5]. Here we treat the case of the first commutator of Calderón and some of its generalizations.