We prove quantitative, matrix weighted, endpoint estimates for the matrix weighted Hardy–Littlewood maximal operator, Calderón–Zygmund operators, and commutators of CZOs with scalar BMO functions, when the matrix weight is in the class A$_1$ introduced by M. Frazier and S. Roudenko. Even in the scalar case, our estimates are sharper than the results implicit in the literature.

中文翻译：

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矩阵权重的弱端点边界

当矩阵权重在 M. Frazier 引入的类 A$_1$ 中时，我们证明了矩阵加权 Hardy-Littlewood 极大算子、Calderón-Zygmund 算子和具有标量 BMO 函数的 CZO 的交换子的定量矩阵加权端点估计和 S. Roudenko。即使在标量情况下，我们的估计也比文献中隐含的结果更清晰。