论文标题
两个标量和矩阵加权设置中的换向器
Commutators in the two scalar and matrix weighted setting
论文作者
论文摘要
在本文中，我们通过基质权重接近换向器的两个加权界限。这种方法既可以用一个任意线性操作员的两个矩阵加权规范不等式的换向器的两个加权界限，这既可以提供足够的和必要的条件。此外，使用这种方法，我们出人意料地提供了几乎表征带有czos和完全任意矩阵权重的两个矩阵加权界限的条件，在完全标量的一个加权设置中，这甚至是新的。最后，我们的方法使我们能够将两个加权Holmes/Lacey/Wick结果扩展到完全矩阵设置（两个矩阵权重和一个矩阵符号），完成了前两位作者发起的一系列研究线。
In this paper we approach the two weighted boundedness of commutators via matrix weights. This approach provides both a sufficient and a necessary condition for the two weighted boundedness of commutators with an arbitrary linear operator in terms of one matrix weighted norm inequalities for this operator. Furthermore, using this approach, we surprisingly provide conditions that almost characterize the two matrix weighted boundedness of commutators with CZOs and completely arbitrary matrix weights, which is even new in the fully scalar one weighted setting. Finally, our method allows us to extend the two weighted Holmes/Lacey/Wick results to the fully matrix setting (two matrix weights and a matrix symbol), completing a line of research initiated by the first two authors.
