Revista Matemática Iberoamericana
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Published online: 2001-04-30
Square functions of Calderón type and applicationsDorina Mitrea and John L. Lewis (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