Abstract
Starting from the L2 boundedness of the Clifford-Cauchy operator on Lipschitz surfaces, we give a direct, self-contained proof of the L2 boundedness of a large class of singular integral operators with kernels of Calderon- Zygmund type. Our approach is intrinsically higher-dimensional in nature, as it makes no appeal to the one-dimensional theory (a technique traditionally known as the method of rotation).
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