What is van der Corput's lemma in higher dimensions?

Publicacions Matematiques

Volumn 48, Issue SPEC. ISS., 2004, Pages 13-26

  Carbery, Anthony ^a   Wright, James ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Multilinear forms; Oscillatory integrals; Sublevel sets

Indexed keywords

EID: 10244274218     PISSN: 02141493     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (9)

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2. n, in: "Harmonic analysis" (Sendai, 1990), ICM-90 Satell. Conf. Proc., Springer, Tokyo, 1991, pp. 41-50.
3. [CW] A. CARBERY AND J. WRIGHT, Multilinear sublevel set operators and multilinear interpolation, in preparation.
4. [F] C. FEFFERMAN, Inequalities for strongly singular convolution operators, Acta. Math. 124 (1970), 9-36.
5. [G] I. R. GlBSON, Ph.D. thesis in preparation, University of Edinburgh.
6. [PS1] D. H. PHONG AND E. M. STEIN, On a stopping process for oscillatory integrals, J. Geom. Anal. 4(1) (1994), 105-120.
7. [PS2] D. H. PHONG AND E. M. STEIN, The Newton polyhedron and oscillatory integral operators, Acta Math. 179(1) (1997), 105-152.
8. [PSS] D. H. PHONG, E. M. STEIN AND J. A. STURM, Multilinear level set operators, oscillatory integral operators and Newton polyhedra, Math. Ann. 319(3) (2001), 573-596.
9. [S] E. M. STEIN, "Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals", Princeton Mathematical Series 43, Monographs in Harmonic Analysis III, Princeton University Press, Princeton, NJ, 1993.