a1 Department of Mathematics and the Pohang Mathematics Institute, Pohang University of Science and Technology, Pohang 790-784, Korea (email: email@example.com)
a2 Department of Mathematics, Florida State University, Tallahassee, FL 32306, USA (email: firstname.lastname@example.org)
a3 Department of Mathematics, University of Wisconsin–Madison, Madison, WI 53706, USA (email: email@example.com)
We consider the Fourier restriction operators associated to certain degenerate curves in d for which the highest torsion vanishes. We prove estimates with respect to affine arclength and with respect to the Euclidean arclength measure on the curve. The estimates have certain uniform features, and the affine arclength results cover families of flat curves.
(Received January 17 2007)
(Accepted June 04 2007)
2000 Mathematics subject classification
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J.B. was supported in part by grant R01-2004-000-10055-0 of the Korea Science and Engineering Foundation. D.O. was supported in part by NSF grant DMS-0552041. A.S. was supported in part by NSF grant DMS-0200186.