Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Estimates for a multilinear form on the sphere

S. W. Drurya1

a1 Department of Mathematics and Statistics, McGill University, Montreal, Canada H3A 2K6

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 inxs211Dn.

(Received November 26 1987)