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Qian, Tao

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

Stud. Math. 123, No. 3, 195-216 (1997).

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)

Cited in 12 Documents

MSC:

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

Keywords:

singular integrals; Fourier multipliers; Cauchy integral operator; Lipschitz curves

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