Square functions of Calderon type and applications

Citation
S. Hofmann et Jl. Lewis, Square functions of Calderon type and applications, REV MAT IBE, 17(1), 2001, pp. 1-20
Citations number
23
Categorie Soggetti
Mathematics
Journal title
REVISTA MATEMATICA IBEROAMERICANA
ISSN journal
02132230 → ACNP
Volume
17
Issue
1
Year of publication
2001
Pages
1 - 20
Database
ISI
SICI code
0213-2230(2001)17:1<1:SFOCTA>2.0.ZU;2-8
Abstract
We establish L-2 and L-p bounds for a class of square functions which arise s in the study of singular integrals and boundary value problems in non-smo oth domains. As an application, we present a simplified treatment of a clas s of parabolic smoothing operators which includes the caloric single layer potential on the boundary of certain minimally smooth, non-cylindrical doma ins.