| 扩张矩阵的广义二进方体的一些性质 |
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| 引用本文： | 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[J]. 数学学报, 2018, 61(6): 925-932 |
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| 作者姓名： | 廖敏峰 李波 孙瑞瑞 李宝德 |
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| 作者单位： | 新疆大学数学与系统科学学院 乌鲁木齐 830046 |
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| 基金项目： | 国家自然科学基金资助项目（11461065，11661075） |
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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.
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Some Properties of General Dyadic Cubes Associated with an Expansive Matrix |
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| Min Feng LIAO,Bo LI,Rui Rui SUN,Bao De LI. Some Properties of General Dyadic Cubes Associated with an Expansive Matrix[J]. Acta Mathematica Sinica, 2018, 61(6): 925-932 |
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| Authors: | Min Feng LIAO Bo LI Rui Rui SUN Bao De LI |
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| Affiliation: | College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China |
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| 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. |
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| Keywords: | anisotropy expansive matrix dyadic cube |
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