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A Class of Singular Integral Operators Associated to Surfaces of Revolution
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 334–339·Published 24 November 2011·DOI10.4236/apm.2011.16060
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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.
KeywordsSingular IntegralsSurface of RevolutionMaximal OperatorRough Kernel
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