A modification of Hardy-Littlewood maximal-function on Lie groups

Maysam Maysami Sadr

For a real-valued function $f$ on a metric measure space $(X,d,\mu )$ the Hardy-Littlewood maximal-function of $f$ is given by the following `supremum-norm': $$Mf(x):=\sup_{r>0}\frac{…