@article{Ali2024, 
author = {Mohammed Ali and Qutaibeh Katatbeh and Oqlah Al-Refai and Basma Al-Shutnawi},
title = {Estimates for functions of generalized Marcinkiewicz operators related to surfaces of revolution},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {22287-22300},
keywords = {Triebel-Lizorkin space, singular kernels, generalized Marcinkiewicz integrals, Lp estimates, extrapolation},
url = {https://www.sciopen.com/article/10.3934/math.20241085},
doi = {10.3934/math.20241085},
abstract = {In this paper, specific  Lp estimates for generalized Marcinkiewicz operators correlated to surfaces of revolution are proved. These estimates and the extrapolation procedure of Yano are employed to confirm the  Lp boundedness of the above-mentioned integrals under weaker assumptions on the singular kernels. Our findings generalize and improve several known results.}
}