Geodesic
Singular integrals with holomorphic kernels and Fourier multipliers on star-shaped closed Lipschitz curves
Studia Mathematica, Tome 123 (1997) no. 3, pp. 195-216

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The paper presents a theory of Fourier transforms of bounded holomorphic functions defined in sectors. The theory is then used to study singular integral operators on star-shaped Lipschitz curves, which extends the result of Coifman-McIntosh-Meyer on the $L^2$-boundedness of the Cauchy integral operator on Lipschitz curves. The operator theory has a counterpart in Fourier multiplier theory, as well as a counterpart in functional calculus of the differential operator 1/i d/dz on the curves.
DOI : 10.4064/sm-123-3-195-216

Tao Qian 1

1 
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Tao Qian. Singular integrals with holomorphic kernels and Fourier multipliers on star-shaped closed Lipschitz curves. Studia Mathematica, Tome 123 (1997) no. 3, pp. 195-216. doi: 10.4064/sm-123-3-195-216

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