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A Bessel function multiplier

Authors: Daniel Oberlin and Hart F. Smith
Journal: Proc. Amer. Math. Soc. 127 (1999), 2911-2915
MSC (1991): Primary 42B15, 42B20
Published electronically: April 23, 1999
MathSciNet review: 1605925
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Abstract: We obtain nearly sharp estimates for the $L^{p}({\mathbb{R}}^{2})$ norms of certain convolution operators.

References [Enhancements On Off] (What's this?)

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  • [SS] H. F. Smith and C. D. Sogge, $L^{p}$ regularity for the wave equation with strictly convex obstacles, Duke Math. J. 73 (1994), 97-153. MR 95c:35048
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Additional Information

Daniel Oberlin
Affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306

Hart F. Smith
Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195

Keywords: Fourier transform, convolution operator, oscillatory integral, Bessel function
Received by editor(s): December 15, 1997
Published electronically: April 23, 1999
Additional Notes: Both authors are partially supported by the NSF
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 1999 American Mathematical Society

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