Noncommutative maximal differential transforms associated to averaging operators

Shaohong Liang, Yu Wang, Bang Xu +1

In this paper, we establish the noncommutative maximal weak type $(1,1)$ and strong type $(p,p)$ estimates for the family of operators $(T_N{)}_N$, defined by $$T_Nf=\sum_{k=N_1}^{N_…