$L^p$-integrability of functions with Fourier supports on fractal sets on the moment curve

Shengze Duan, Minh-Quy Pham, Donggeun Ryou

For $0<\alpha \le 1$, let $E$ be a compact subset of the $d$-dimensional moment curve in ${\mathbb{R}}^d$ such that $N(E,\epsilon )\lesssim {\epsilon }^{-\alpha }$ for $0<\epsilon <1$…