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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$L^p$ estimates for a class of oscillatory integrals


Author: G. Sampson
Journal: Proc. Amer. Math. Soc. 131 (2003), 2727-2732
MSC (2000): Primary 42B20; Secondary 46B70, 47G10
Published electronically: April 9, 2003
MathSciNet review: 1974329
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Abstract | References | Similar Articles | Additional Information

Abstract: We obtain a simpler proof of Theorem 3.1 of The complete $(L^p,L^p)$ mapping properties of some oscillatory integrals in several dimensions, by G. Sampson and P. Szeptycki (Canad. Math. J. 53 (5) (2001), 1031-1056).


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

  • [SS] G. Sampson and P. Szeptycki,The complete $(L^p,L^p)$ mapping properties of some oscillatory integrals in several dimensions, Canad. Math. J., 53 (5), (2001), 1031-1056. MR 2002g:42019
  • [St] E.M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality and Oscillatory Integrals, Princeton Univ. Press, Princeton, N.J., 1993. MR 95c:42002

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Additional Information

G. Sampson
Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849
Email: sampsgm@math.auburn.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07131-4
PII: S 0002-9939(03)07131-4
Keywords: Oscillatory integrals, $L^p$ mappings
Received by editor(s): December 26, 2001
Published electronically: April 9, 2003
Communicated by: Andreas Seeger
Article copyright: © Copyright 2003 American Mathematical Society



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