Average decay estimates for Fourier transforms of measures supported on curves

Author:

Brandolini L.,Gigante G.,Greenleaf A.,Iosevich A.,Seeger A.,Travaglini G.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference21 articles.

1. Arkhipov, G. I., Chubarikov, V. N., and Karatsuba, A. A. Exponent of convergence of the singular integral in the Tarry problem, (Russian),Dokl. Akad. Nauk SSSR 248(2), 268–272, (1979).

2. de Gruyter Expositions in Mathematics, 39;G. I. Arkhipov,2004

3. Bak, J.-G. and Lee, S. Estimates for an oscillatory integral operator related to restriction to space curves,Proc. Amer. Math. Soc. 132, 1393–1401, (2004).

4. Beckner, W., Carbery, A., Semmes, S., and Soria, F. A note on restriction of the Fourier transform to spheres,Bull. London Math. Soc. 21, 394–398, (1989).

5. Brandolini, L., Greenleaf, A., and Travaglini, G.L p −L p′ estimates for overdetermined Radon transforms,Trans. Amer. Math. Soc. to appear.

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