Author(s)

Muliang Cao, Huoxiong Wu

.

In this paper, the authors establish the Lp-mapping properties of a class of singular integral operators along surfaces of revolution with rough kernels. The size condition on the kernels is optimal and much weaker than that for the classical Calderon-Zygmund singular integral operators.

Singular Integrals, Surface of Revolution, Maximal Operator, Rough Kernel

M. Cao and H. Wu, "A Class of Singular Integral Operators Associated to Surfaces of Revolution," Advances in Pure Mathematics, Vol. 1 No. 6, 2011, pp. 334-339. doi: 10.4236/apm.2011.16060.