A parabolic version of Corona decompositions

A parabolic version of Corona decompositions
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Corona 分解的抛物线版本

DOI:
10.1215/ijm/1266934791
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发表时间:
2009
影响因子:
0.6
通讯作者:
J. Rivera
J. Rivera
中科院分区:
--
文献类型:
--
作者:
J. Rivera

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.设E是(n + 1)维欧氏空间中具有抛物齐性、余维为1的子集,并有一个适当的曲面测度σ与之相关联,我们定义了E的抛物型Corona分解,并建立了E的抛物型Corona分解存在的充分条件的两个结果.这两个结果都是G.大卫和S.塞姆斯
. Let E be a subset in ( n + 1)-dimensional Euclid-ian space with parabolic homogeneity, codimension 1, and with an appropriate surface measure σ associated to it. We define a parabolic version of Corona decomposition of E and establish two results on sufficient conditions for the existence of parabolic Corona decomposition for E . Both results are parabolic versions of well-known results due to G. David and S. Semmes.