submitted on 2024-02-22, 12:08 and posted on 2024-02-22, 12:09authored byMohammed Ali, Hussain Al-Qassem
We establish certain delicate Lpbounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels. These bounds allow us to use Yano’s extrapolation method to prove the Lp boundedness of the aforementioned integral operators under very weak assumptions on the kernels. Our results in this article improve and generalize many previously known results.