Optimal Weak-Type Estimates and Their Applications of Lifted Rough Maximal Operators

Dachun Yang, Wen Yuan, Yirui Zhao

Let $n\in \mathbb{N}\cap [2,\infty )$ and $\Omega \in L^1({\mathbb{S}}^{n-1})$ with $\Omega \not\equiv 0$. In this article, we introduce a new family of lifted rough maximal operators $\{\mathcal{M}_…