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A convolution estimate for a measure on a curve in  . II
Author(s):
Daniel
M.
Oberlin
Journal:
Proc. Amer. Math. Soc.
127
(1999),
217-221.
MSC (1991):
Primary 42B15
MathSciNet review:
1476381
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Abstract:
This paper contains almost-sharp  convolution estimates for measures on the curve  in  .
References:
- [C1]
- M. Christ, On the restriction of the Fourier transform to curves: endpoint results and the degenerate case, Trans. Amer. Math. Soc. 287 (1985), 223-238. MR 87b:42018
- [C2]
- M. Christ, Convolution, Curvature and Combinatorics, a Case Study, preprint.
- [GSW]
- A. Greenleaf, A. Seeger, and S. Wainger, On x-ray transforms for rigid line complexes and integrals over curves in
 , preprint. - [O1]
- D. Oberlin, A convolution estimate for a measure on a curve in
 , Proc. Amer. Math. Soc. 125 (1997), 1355-1361. MR 97g:42009 - [O2]
- D. Oberlin, Multilinear proofs for two theorems on circular averages, Colloq. Math. 63 (1992), 187-190. MR 93m:42005
- [O3]
- D. Oberlin, Oscillatory integrals with polynomial phase, Math. Scand. 69 (1991), 45-56.
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Additional Information:
Daniel
M.
Oberlin
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510
DOI:
10.1090/S0002-9939-99-04690-0
PII:
S 0002-9939(99)04690-0
Received by editor(s):
May 12, 1997
Additional Notes:
The author was partially supported by a grant from the National Science Foundation
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
1999,
American Mathematical Society
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