Dimension-free Fourier restriction inequalities

Diogo Oliveira e Silva, Błażej Wróbel

Let ${\mathbf{R}}_{{\mathbb{S}}^{d-1}}(p\to q)$ denote the best constant for the $L^p({\mathbb{R}}^d)\to L^q({\mathbb{S}}^{d-1})$ Fourier restriction inequality to the unit sphere $\mathbb{…