摘要

In this paper the authors give a new integral estimate of the Bessel function, which is an extension of Calderon-Zygmund's result. As an application of this result, we prove that the parameterized Marcinkiewicz integral mu(rho)(Omega) with variable kernels is of type (2, 2), where the kernel function Omega does not have any smoothness on the unit sphere in R(n) .