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Estimates for a multilinear form on the sphere

Published online by Cambridge University Press:  24 October 2008

S. W. Drury
S. W. Drury
Affiliation:
Department of Mathematics and Statistics, McGill University, Montreal, Canada H3A 2K6
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Extract

The object of this paper is to make Lp estimates for the n-linear form

defined on n-tuples of functions (ø1, …, øn) on the sphere Sn−1 inℝn.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 3 , November 1988 , pp. 533 - 537
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

[1]Tomas, P. A.. Restriction theorems for the Fourier Transform. Proc. Sympos. Pure Math. 35 (1979), 111–114.CrossRefGoogle Scholar
[2]Zygmund, A.. On Fourier coefficients and transforms of functions of two variables. Studia Math. 50 (1974), 189–201.CrossRefGoogle Scholar
[3]Stein, E. M.. Singular Integrals and Differentiability Properties of Functions (Princeton University Press, 1970).Google Scholar
[4]Christ, M.. On the restriction of the Fourier transform to curves: endpoint results and the degenerate case. Trans. Amer. Math. Soc. 287 (1985), 223–238.CrossRefGoogle Scholar
[5]Hunt, R. A.. On L(p, q) spaces. Enseign. Math. (2) 12 (1966), 249–275.Google Scholar