Noncommutative maximal strong $L_p$ estimates of Calderón-Zygmund operators

In this paper, we obtain the desired noncommutative maximal inequalities of the truncated Calderón-Zygmund operators of non-convolution type acting on operator-valued $L_p$-functions for all $1<p<\mathrm{\infty }$, answering a question left open in the previous work \cite{HLX}.