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/