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A Bessel function multiplier
Author(s):
Daniel
Oberlin;
Hart
F.
Smith
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2911-2915.
MSC (1991):
Primary 42B15, 42B20
Posted:
April 23, 1999
MathSciNet review:
1605925
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Abstract |
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Abstract:
We obtain nearly sharp estimates for the  norms of certain convolution operators.
References:
- [C]
- A. Córdoba, Geometric Fourier Analysis, vol. 32, Ann. Inst. Fourier, 1982, pp. 215-226. MR 84i:42029
- [F]
- C. Fefferman, A note on spherical summation multipliers, Israel J. Math 15 (1973), 44-52. MR 47:9169
- [O]
- D. Oberlin, Convolution estimates for some measures on curves, Proc. Amer. Math. Soc 99 (1987), 56-60.
- [SS]
- H. F. Smith and C. D. Sogge,
 regularity for the wave equation with strictly convex obstacles, Duke Math. J. 73 (1994), 97-153. MR 95c:35048 - [S]
- E. M. Stein, Harmonic Analysis: Real Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton University Press, Princeton, 1993.
- [SW]
- E. M. Stein and S. Wainger, Problems in harmonic analysis related to curvature, Bull. Amer. Math. Soc. 84 (1978), 1239-1295. MR 80k:42023
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Additional Information:
Daniel
Oberlin
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, Florida 32306
Email:
oberlin@math.fsu.edu
Hart
F.
Smith
Affiliation:
Department of Mathematics, University of Washington, Seattle, Washington 98195
Email:
hart@math.washington.edu
DOI:
10.1090/S0002-9939-99-04888-1
PII:
S 0002-9939(99)04888-1
Keywords:
Fourier transform,
convolution operator,
oscillatory integral,
Bessel function
Received by editor(s):
December 15, 1997
Posted:
April 23, 1999
Additional Notes:
Both authors are partially supported by the NSF
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
1999,
American Mathematical Society
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