We establish weighted sharp maximal function inequalities for a linear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of a commutator on weighted Lebesgue spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-2-1,
author = {Dazhao Chen},
title = {Weighted sharp maximal function inequalities and boundedness of a linear operator associated to a singular integral operator with non-smooth kernel},
journal = {Colloquium Mathematicae},
volume = {135},
year = {2014},
pages = {149-170},
zbl = {1301.42032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-2-1}
}
Dazhao Chen. Weighted sharp maximal function inequalities and boundedness of a linear operator associated to a singular integral operator with non-smooth kernel. Colloquium Mathematicae, Tome 135 (2014) pp. 149-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-2-1/