Commutators of singular integrals revisited

Commutators of singular integrals revisited
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DOI:
10.1112/blms.12216
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发表时间:
2017-09
影响因子:
0.9
通讯作者:
A. Lerner;S. Ombrosi;I. Rivera-Ríos
A. Lerner;S. Ombrosi;I. Rivera-Ríos
中科院分区:
数学3区
文献类型:
--
作者:
A. Lerner;S. Ombrosi;I. Rivera-Ríos

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得到了奇异积分迭代交换子的双权有界性的Bloom-型刻画。这种必要性被建立在相当广泛的一类算子上,即使在一阶交换器的未加权设置下也提供了新的结果。
We obtain a Bloom‐type characterization of the two‐weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of operators, providing a new result even in the unweighted setting for the first order commutators.