Lower bounds for uncentered maximal functions in any dimension

Paata Ivanisvili, Benjamin Jaye, Fedor Nazarov

In this paper we address the following question: given $p\in (1,\infty )$, $n\ge 1$, does there exists a constant $A(p,n)>1$ such that $\| M f\|_{L^{p}}\geq A(n,p) \| f\|_{L^{p}}…