Restricted convolution inequalities, multilinear operators and applications

Dan-Andrei Geba, Allan Greenleaf, Alex Iosevich +2

For $1\le k<n$, we prove that for functions $F,G$ on ${\mathbb{R}}^n$, any $k$-dimensional affine subspace $H\subset {\mathbb{R}}^n$, and $p,q,r\ge 2$ with $\frac{1}{p}+\frac{1}{q…