Noncommutative weak type $(1,1)$ estimates for Calder\'on-Zygmund operators with a class of $L_1$-integral conditions
We construct a slightly new noncommutative Calder\'on-Zygmund decomposition by further splitting the bad function. Using this tool, we prove the weak type (1,1) boundedness of noncommutative Calder\'on-Zygmund operators under a class of $L_1$-integral conditions, which are close to $L_1$-Dini conditions.
math.FA↗