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This article is the second in a series of three papers, whose scope is togive new proofs to the well known theorems of Calder\'{o}n, Coifman, McIntoshand Meyer. Here we treat the case of the Cauchy integral on Lipschitz curvesand some of its generalizations.

Calder\'{o}n commutators and the Cauchy integral on Lipschitz curves revisited II. Cauchy integral and generalizations