We prove boundedness for p ∈ (1,∞) of maximal singular integral operators with rough kernels on product homogeneous groups under a sharp integrability condition of the kernels.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-1-4, author = {Yong Ding and Shuichi Sato}, title = {Maximal singular integrals on product homogeneous groups}, journal = {Studia Mathematica}, volume = {223}, year = {2014}, pages = {41-49}, zbl = {1309.42014}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-1-4} }
Yong Ding; Shuichi Sato. Maximal singular integrals on product homogeneous groups. Studia Mathematica, Tome 223 (2014) pp. 41-49. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-1-4/