Square functions of Calderón type and applications.
Steve Hofmann, John L. Lewis (2001)
Revista Matemática Iberoamericana
Similarity:
We establish L and L bounds for a class of square functions which arises in the study of singular integrals and boundary value problems in non-smooth 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, non-cylindrical domains.