Article ID Journal Published Year Pages File Type
4591098 Journal of Functional Analysis 2010 25 Pages PDF
Abstract

We establish strong-type endpoint Lp(Rd)→Lq(Rd) bounds for the operator given by convolution with affine arclength measure on polynomial curves for d⩾4. The bounds established depend only on the dimension d and the degree of the polynomial.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory