$L^p$ estimates for a class of oscillatory integrals
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- by G. Sampson PDF
- Proc. Amer. Math. Soc. 131 (2003), 2727-2732 Request permission
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
- G. Sampson and P. Szeptycki, The complete $(L^p,L^p)$ mapping properties of some oscillatory integrals in several dimensions, Canad. J. Math. 53 (2001), no. 5, 1031–1056. MR 1859765, DOI 10.4153/CJM-2001-040-9
- Elias M. Stein, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton Mathematical Series, vol. 43, Princeton University Press, Princeton, NJ, 1993. With the assistance of Timothy S. Murphy; Monographs in Harmonic Analysis, III. MR 1232192
Additional Information
- G. Sampson
- Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849
- Email: sampsgm@math.auburn.edu
- Received by editor(s): December 26, 2001
- Published electronically: April 9, 2003
- Communicated by: Andreas Seeger
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2727-2732
- MSC (2000): Primary 42B20; Secondary 46B70, 47G10
- DOI: https://doi.org/10.1090/S0002-9939-03-07131-4
- MathSciNet review: 1974329