Revista Matemática Iberoamericana

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Volume 17, Issue 1, 2001, pp. 1–20
DOI: 10.4171/RMI/287

Published online: 2001-04-30

Square functions of Calderón type and applications

Dorina Mitrea[1] and John L. Lewis[2]

(1) University of Missouri, Columbia, United States
(2) University of Kentucky, Lexington, USA

We establish $L^2$ and $L^p$ bounds for a class of square functions which arises in the study of singular integrals and boundary value problems in nonsmooth domains. As an application we present a simplified treatment of a class of parabolic smoothing operators which includes the caloric single layer potential on the boundary of certain minimally smooth noncylindrical domains.

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Mitrea Dorina, Lewis John: Square functions of Calderón type and applications. Rev. Mat. Iberoam. 17 (2001), 1-20. doi: 10.4171/RMI/287