Square functions of Calderón type and applications.

Hofmann, Steve, and Lewis, John L.. "Square functions of Calderón type and applications.." Revista Matemática Iberoamericana 17.1 (2001): 1-20. <http://eudml.org/doc/39621>.

@article{Hofmann2001,
abstract = {We establish L2 and Lp 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.},
author = {Hofmann, Steve, Lewis, John L.},
journal = {Revista Matemática Iberoamericana},
keywords = {Integrales singulares; Función Lipschitziana; Integral de Cauchy; Operadores integrales; singular integral; boundary value; square functions; heat equation; caloric singular layer potential},
language = {eng},
number = {1},
pages = {1-20},
title = {Square functions of Calderón type and applications.},
url = {http://eudml.org/doc/39621},
volume = {17},
year = {2001},
}

TY - JOUR
AU - Hofmann, Steve
AU - Lewis, John L.
TI - Square functions of Calderón type and applications.
JO - Revista Matemática Iberoamericana
PY - 2001
VL - 17
IS - 1
SP - 1
EP - 20
AB - We establish L2 and Lp 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.
LA - eng
KW - Integrales singulares; Función Lipschitziana; Integral de Cauchy; Operadores integrales; singular integral; boundary value; square functions; heat equation; caloric singular layer potential
UR - http://eudml.org/doc/39621
ER -