We establish the $L^p$ boundedness for a class of singular integral operators under the $H^1$ kernel condition. These operators were introduced by Duoandikoetxea and Rubio de Francia as an extension of the classical Calderón-Zygmund operators.
Publié le : 2002-10-15
Classification:
42B20,
35K05,
42B25,
47F05,
47G10
@article{1258138467,
author = {Cheng, Leslie C. and Pan, Yibiao},
title = {On an extension of Calder\'on-Zygmund operators},
journal = {Illinois J. Math.},
volume = {46},
number = {3},
year = {2002},
pages = { 1079-1088},
language = {en},
url = {http://dml.mathdoc.fr/item/1258138467}
}
Cheng, Leslie C.; Pan, Yibiao. On an extension of Calderón-Zygmund operators. Illinois J. Math., Tome 46 (2002) no. 3, pp. 1079-1088. http://gdmltest.u-ga.fr/item/1258138467/