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 $\hat{I}\text{c◯}\in L^1({\mathbb{S}}^{n-1})$ with $\hat{I}\text{c◯}\not\equiv 0$. In this article, we introduce a new family of lifted rough maximal operators $\{\mathcal{M…