An operator-valued T1 theory for symmetric CZOs
An operator-valued T1 theory for symmetric CZOs
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DOI：
10.1016/j.jfa.2019.108420
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发表时间：
2019-07
影响因子：
1.7
通讯作者：
G. Hong;Honghai Liu;T. Mei
中科院分区：
文献类型：
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作者：
G. Hong;Honghai Liu;T. Mei
我们给出了一个自然的BMO-准则的L2-有界的Calderón-Zygmund算子的算子值核满足对称性质。我们的论点涉及经典和量子概率论。在附录中，我们证明了当B属于Bourgain的向量值BMO空间时，算子[Rj，B]的L2-有界性，其中Rj是第j次Riesz变换.一个共同的成分是运营商价值哈尔乘数研究的Blasco和波特。
We provide a natural BMO-criterion for the L 2-boundedness of Calderón-Zygmund operators with operator-valued kernels satisfying a symmetric property. Our arguments involve both classical and quantum probability theory. In the appendix, we give a proof of the L 2-boundedness of the commutators [R j, b] whenever b belongs to the Bourgain's vector-valued BMO space, where R j is the j-th Riesz transform. A common ingredient is the operator-valued Haar multiplier studied by Blasco and Pott.