aspg-21-4412-1791465328 20261008131528 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2026 27 2 Mohammed Ali College of Integrative Studies, Abdullah Al-Salem University, Khaldiya, Kuwait Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan This paper is concerned with studying the mapping properties of generalized Marcinkiewicz integral operators along twisted surfaces. Under certain conditions on these surfaces we obtain certain Lp estimates for these operators provided that the kernel functions are in Lq Sn−1 (× Sm−1 . By) an extrapolation argument, we prove that these operators are bounded on Lp(Rn × Rm ) for 1 < p < ∞ under very weak conditions on the kernel functions. Our results extend and improve many previously known results. 2026 542 550 4412 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.270243 https://www.americaspg.com/journal/21/article/4412 https://www.americaspg.com/storage/articles/manuscripts/01M3FA8V92K0P54ZQQGJJ3PM93.pdf