Estimates for functions of generalized Marcinkiewicz operators related to surfaces of revolution.

In this paper, specific L^p 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 L^p boundedness of the above-mentioned integrals under weaker assumptions on the singular kernels. Our findings generalize and improve several known results. [ABSTRACT FROM AUTHOR]