Uniform rectifiability, Calderon-Zygmund operators with odd kernel, and quasiorthogonality
Uniform rectifiability, Calderon-Zygmund operators with odd kernel, and quasiorthogonality
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DOI：
10.1112/plms/pdn035
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发表时间：
2009-03-01
影响因子：
1.8
通讯作者：
Tolsa, Xavier
中科院分区：
文献类型：
--
作者：
Tolsa, Xavier
本文研究了与一致矩形有关的几个问题。能力和L-2有界性的Calderon-Zygmund算子（CZO）。我们展示了均匀的直肠。能力可以用一些新的与琼斯β数有关的无量纲系数来表征。我们还利用这些新的系数证明了具有C-2型奇核的n维CZO在L-2（mu）中有界，如果mu是n维一致可求长测度.
In this paper we study some questions in connection with uniform recti. ability and the L-2 boundedness of Calderon-Zygmund operators (CZOs). We show that uniform recti. ability can be characterized in terms of some new adimensional coefficients that are related to the Jones' beta numbers. We also use these new coefficients to prove that n-dimensional CZOs with odd kernel of type C-2 are bounded in L-2(mu), if mu is an n-dimensional uniformly rectifiable measure.