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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

A uniform $L^p$ estimate of Bessel functions and distributions supported on $S^{n-1}$

Author(s): Kanghui Guo
Journal: Proc. Amer. Math. Soc. 125 (1997), 1329-1340.
MSC (1991): Primary 43A45
MathSciNet review: 1363462
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Abstract: A uniform $L^p$ estimate of Bessel functions is obtained, which is used to get a characterization of the $L^2$ measures on the unit sphere of $R^n$ in terms of the mixed $L^p$ norm of the Fourier transform of the measures.

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Additional Information:

Kanghui Guo
Affiliation: Department of Mathematics, Southwest Missouri State University, Springfield, Missouri 65804
Email: kag026f@cnas.smsu.edu

DOI: 10.1090/S0002-9939-97-03667-8
PII: S 0002-9939(97)03667-8
Received by editor(s): March 14, 1995
Received by editor(s) in revised form: October 11, 1995
Additional Notes: The author's research was supported in part by the National Science Foundation, Grant DMS-9401208. Some of the work was done while the author was attending the harmonic analysis workshop at Edinburgh, Scotland, June, 1994.
Communicated by: Christopher D. Sogge
Copyright of article: Copyright 1997, American Mathematical Society




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