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/