Weighted norm estimates of noncommutative Calder\'on-Zygmund operators
Abstract
This paper is devoted to studying weighted endpoint estimates of operator-valued singular integrals. Our main results include weighted weak-type (1,1) estimate of noncommutative maximal Calder\'on-Zygmund operators, corresponding version of square functions and a weighted H1- L1 type inequality. All these results are obtained under the condition that the weight belonging to the Muchenhoupt A1 class and certain regularity assumptions imposed on kernels which are weaker than the Lipschitz condition.
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