扩张矩阵的广义二进方体的一些性质

廖敏峰, 李波, 孙瑞瑞, 李宝德

数学学报 ›› 2018, Vol. 61 ›› Issue (6) : 925-932.

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数学学报 ›› 2018, Vol. 61 ›› Issue (6) : 925-932. DOI: 10.12386/A2018sxxb0083
论文

扩张矩阵的广义二进方体的一些性质

    廖敏峰, 李波, 孙瑞瑞, 李宝德
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Some Properties of General Dyadic Cubes Associated with an Expansive Matrix

    Min Feng LIAO, Bo LI, Rui Rui SUN, Bao De LI
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摘要

本文给出了A进方体满足嵌套性质的一个充分条件,得到了A进方体的一个覆盖定理,探讨了A进方体与相关于扩张矩阵A的Christ-二进方体的关系.

Abstract

We acquire a sufficient condition to guarantee the nesting property of the dilated cubes associated with an expansive matrix A. Second, we obtain a covering theorem about the dilated cubes. Finally, we discuss the relationship between the dilated cubes and Christ-dyadic cubes associated with an expansive matrix A.

关键词

各向异性 / 扩张矩阵 / 二进方体

Key words

anisotropy / expansive matrix / dyadic cube

引用本文

导出引用
廖敏峰, 李波, 孙瑞瑞, 李宝德. 扩张矩阵的广义二进方体的一些性质. 数学学报, 2018, 61(6): 925-932 https://doi.org/10.12386/A2018sxxb0083
Min Feng LIAO, Bo LI, Rui Rui SUN, Bao De LI. Some Properties of General Dyadic Cubes Associated with an Expansive Matrix. Acta Mathematica Sinica, Chinese Series, 2018, 61(6): 925-932 https://doi.org/10.12386/A2018sxxb0083

参考文献

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基金

国家自然科学基金资助项目(11461065,11661075)

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