Fourier restriction for affine arclength measures in the plane
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- by Daniel M. Oberlin PDF
- Proc. Amer. Math. Soc. 129 (2001), 3303-3305 Request permission
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
- S. W. Drury, Degenerate curves and harmonic analysis, Math. Proc. Cambridge Philos. Soc. 108 (1990), no. 1, 89–96. MR 1049762, DOI 10.1017/S0305004100068973
- Daniel M. Oberlin, Convolution with affine arclength measures in the plane, Proc. Amer. Math. Soc. 127 (1999), no. 12, 3591–3592. MR 1690999, DOI 10.1090/S0002-9939-99-05462-3
Additional Information
- Daniel M. Oberlin
- Affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510
- Email: oberlin@math.fsu.edu
- Received by editor(s): March 15, 2000
- Published electronically: April 2, 2001
- Communicated by: Christopher D. Sogge
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3303-3305
- MSC (1991): Primary 42B10
- DOI: https://doi.org/10.1090/S0002-9939-01-06012-9
- MathSciNet review: 1845006