Noncommutative weak type (1,1) estimates for Calder\'on-Zygmund operators with a class of L1-integral conditions
Abstract
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 L1-integral conditions, which are close to L1-Dini conditions.
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