Singular integral operators with rough convolution kernels

Singular integral operators with rough convolution kernels
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DOI:
10.1090/s0894-0347-96-00185-3
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发表时间:
1996
影响因子:
3.9
通讯作者:
A. Seeger
A. Seeger
中科院分区:
数学1区
文献类型:
--
作者:
A. Seeger

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在所有维度上,同样是在假设Q e L log L的情况下。可以想象,[3]中关于极大算子的变式也可以用于奇异积分算子;事实上,在未发表的工作中,[3]的作者得到了d < 7维的弱型(1,1)不等式。然而,他们的论点,如果适用于奇异积分算子导致实质性的技术困难,
in all dimensions, again under the assumption Q e L log L. It is conceivable that a variant of the arguments in [3] for the maximal operator could also work for the singular integral operator; in fact, in unpublished work, the authors of [3] obtained a weak type (1, 1) inequality in dimension d < 7. However their arguments if applied to the singular integral operator lead to substantial technical difficulties and no