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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.
Reviewer: A.Seeger (Madison)

MSC:

42B15 Multipliers for harmonic analysis in several variables
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
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