Estimates for the Hardy–Littlewood maximal function on the Heisenberg group
Volume 103 / 2005
Colloquium Mathematicum 103 (2005), 199-205
MSC: 42B25, 43A15.
DOI: 10.4064/cm103-2-5
Abstract
We prove the dimension free estimates of the $L^p\rightarrow L^p$, $1< p\leq \infty $, norms of the Hardy–Littlewood maximal operator related to the optimal control balls on the Heisenberg group ${{\mathbb H}}^n$.
