An improved multiple Cotlar inequality is obtained. From this result, weighted norm inequalities for the maximal operator of a multilinear singular integral including weak and strong estimates are deduced under the multiple weights constructed recently.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-2-4,
author = {Xi Chen},
title = {Weighted Estimates for the Maximal Operator of a Multilinear Singular Integral},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {58},
year = {2010},
pages = {129-135},
zbl = {1207.42010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-2-4}
}
Xi Chen. Weighted Estimates for the Maximal Operator of a Multilinear Singular Integral. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) pp. 129-135. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-2-4/