a1 Department of Mathematics, Faculty of Education, Kanazawa University, Kanazawa 920-1192, Japan (email: email@example.com)
We prove certain Lp estimates (1<p<∞) for nonisotropic singular integrals along surfaces of revolution. The singular integrals are defined by rough kernels. As an application we obtain Lp boundedness of the singular integrals under a sharp size condition on their kernels. We also prove a certain estimate for a trigonometric integral, which is useful in studying nonisotropic singular integrals.
(Received November 27 2006)
(Accepted May 08 2008)
2000 Mathematics subject classification
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