4 problems

Sharp weighted bound and good-$\lambda$ conjecture. The constant in these estimates, including their scalar and weak-type forms, should be a multiple of $p[w]_{A_\infty}$. Moreover…

Let $T_\Omega$ be a rough homogeneous singular integral, let $p\in(1,\infty)$, and let $w\geq0$. For $k\geq1$, let $M^k$ denote the $k$-th iterate of the Hardy–Littlewood maximal o…

Let $T_\Omega$ be the rough homogeneous singular integral associated with a bounded, mean-zero function $\Omega$ on $\mathbb{S}^{n-1}$, and let $w\in A_2$. The $A_2$ constant of…

Let $T_\Omega$ be the bilinear rough operator in Theorem, and let $p,q,r$ satisfy $1/r=1/p+1/q$. Theorem proves the corresponding weighted estimate in its stated range, while Corol…