6 problems

Let $0<\alpha<1/2$, and let $M_\alpha$ be the random discrete maximal operator introduced in the paper. Let $f$ and $g$ be finitely supported functions on the integers. A sparse op…

Spherical Carleson conjecture. The estimate

Trapezoidal sparse-bound conjecture. Sparse bounds for ${\mathcal R}_{a,t}^{\lambda}$ hold for every $\lambda>0$ and every pair $(p,q)$ satisfying

Limited-range sparse-domination conjecture. If

Let $T$ satisfy the full-range sparse domination bound referred to in the source. Let $X$ be a Banach function space such that $M:X\to X$ and $M:X'\to X'$ are bounded. Logarithmic…

Sparse form domination conjecture. The same estimate should also hold after replacing $q_0$ by any $q\in(0,q_0]$.