Revista Matemática Iberoamericana


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Volume 30, Issue 3, 2014, pp. 1089–1122
DOI: 10.4171/RMI/808

Published online: 2014-08-27

Calderón commutators and the Cauchy integral on Lipschitz curves revisited II. The Cauchy integral and its generalizations

Camil Muscalu[1]

(1) Cornell University, Ithaca, USA

This article is the second in a series of three papers, whose aim is to give new proofs to the well known theorems of Calderón, Coifman, McIntosh and Meyer [1], [4], and [5]. Here we treat the case of the Cauchy integral on Lipschitz curves and some of its generalizations.

Keywords: Cauchy integral on Lipschitz curves, Littlewood–Paley projections, logarithmic estimates, polynomial upper bounds

Muscalu Camil: Calderón commutators and the Cauchy integral on Lipschitz curves revisited II. The Cauchy integral and its generalizations. Rev. Mat. Iberoamericana 30 (2014), 1089-1122. doi: 10.4171/RMI/808