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

Author(s): G. Sampson
Journal: Proc. Amer. Math. Soc. 131 (2003), 2727-2732.
MSC (2000): Primary 42B20; Secondary 46B70, 47G10
Posted: April 9, 2003
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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:

[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: 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
Posted: April 9, 2003
Communicated by: Andreas Seeger
Copyright of article: Copyright 2003, American Mathematical Society

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