A Class of Singular Integral Operators Associated to Surfaces of Revolution - Advances in Pure Mathematics

APM > Vol.1 No.6, November 2011

A Class of Singular Integral Operators Associated to Surfaces of Revolution ()

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DOI: 10.4236/apm.2011.16060 4,975 Downloads 9,225 Views

Author(s)

Muliang Cao, Huoxiong Wu

Affiliation(s)

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.

KEYWORDS

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

Share and Cite:

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.

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