Let be the uncentered Hardy–Littlewood maximal operator, or the dyadic maximal operator, and let . We prove that for a set of finite perimeter, the bound holds. We also prove this for the local maximal operator.
Cite this article
Julian Weigt, Variation of the uncentered maximal characteristic function. Rev. Mat. Iberoam. 38 (2022), no. 3, pp. 823–849DOI 10.4171/RMI/1312