Weighted Fourier capacities and Frostman restriction estimates

Rodrigo Leon, Vicente Vergara

We study a weighted Fourier capacity attached to compact sets, $ c_{p,k}(K)=\inf\left\{\|k\widehat u\|_{L^p(\mathbb{R}^d)}:u\in C_0^\infty(\mathbb{R}^d),\ u\geq 1 \text{ on } K\rig…