TITLE:
A Class of Singular Integral Operators Associated to Surfaces of Revolution
AUTHORS:
Muliang Cao, Huoxiong Wu
KEYWORDS:
Singular Integrals, Surface of Revolution, Maximal Operator, Rough Kernel
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.6,
November
24,
2011
ABSTRACT: 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.