2 problems

Strichartz's conjecture. (i) If $\lambda\in\mathfrak{a}_{\mathrm{reg}}^*$ and $F\in\mathcal{E}_{\lambda}(X)$, then $F=P_\lambda f$ for some $f\in L^2(B)$ if and only if

Sharpness and optimizer conjecture. There exists a sharp constant $C>0$ such that