## Singular integrals with holomorphic kernels and Fourier multipliers on star-shaped closed Lipschitz curves.(English)Zbl 0924.42012

The author studies Fourier transforms of functions which are bounded and holomorphic in sectors of $$\mathbb R^2$$. He uses the results to establish an extension of the Coifman-McIntosh-Meyer theorem concerning the boundedness of the Cauchy integral operator on Lipschitz curves.