2 problems

Stein's conjecture. For every $p\in(1,\infty]$ there is a constant $C_p>0$ such that

Let $d\in\mathbb{N}$ and let $B^q(d)\subset\mathbb{R}^d$ be a $q$-ball. The discrete restricted maximal function is denoted by $\mathcal{M}_{\ast,>D}^{G}$, and $\mathcal{C}(G,p)$ d…