Abstract In this paper, we extend the mixed weak-type inequalities of Sawyer type for Calderon-Zygmund operators to the variation operators of θ-type Calderon-Zygmund operators. Moreover, the corresponding quantitative weighted bounds… Click to show full abstract
Abstract In this paper, we extend the mixed weak-type inequalities of Sawyer type for Calderon-Zygmund operators to the variation operators of θ-type Calderon-Zygmund operators. Moreover, the corresponding quantitative weighted bounds as well as the weighted estimates in the extreme case p = ∞ are also obtained. Meanwhile, we also present the quantitative Bloom type estimate and C p estimates for variation operators of commutators.
               
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