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Fourier restriction for affine arclength measures in the plane

Author(s): Daniel M. Oberlin
Journal: Proc. Amer. Math. Soc. 129 (2001), 3303-3305.
MSC (1991): Primary 42B10
Posted: April 2, 2001
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Abstract | References | Similar articles | Additional information

Abstract:

We obtain an analog, uniform for a large class of curves in the plane, of the Fefferman-Zygmund theorem on restriction of the Fourier transform.

References:

[D]: S. W. Drury, Degenerate curves and harmonic analysis, Math. Proc. Camb. Phil. Soc. 108 (1990), 89-96. MR 91h:42021
[O]: D. M. Oberlin, Convolution with affine arclength measures in the plane, Proc. Amer. Math. Soc. 127 (1999), 3591-3592. MR 2000c:42016


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