Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-24T14:17:10.861Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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