| 拟对称packing极小Moran集 |
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| 引用本文： | 李彦哲,何其涵.拟对称packing极小Moran集[J].数学杂志,2017,37(6):1125-1133. |
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| 作者姓名： | 李彦哲 何其涵 |
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| 作者单位： | 广西大学数学与信息科学学院, 广西 南宁 530004,广西大学数学与信息科学学院, 广西 南宁 530004 |
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| 基金项目： | Supported by NSFC (11626069); Guangxi Natural Science Foundation (2016GXNSFAA380003); Science Foundation of Guangxi University (XJZ150827). |
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| 摘 要： | 本文研究了一维Moran集的拟对称packing极小性的问题.利用质量分布原理的方法，获得了直线上一类packing维数为1的Moran集为拟对称packing极小集的结果，推广了参考文献中关于拟对称packing极小性的已知结果.
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| 关 键 词： | 拟对称映射 packing维数 Moran集 |
| 收稿时间： | 2016/8/15 0:00:00 |
| 修稿时间： | 2016/11/9 0:00:00 |
QUASISYMMETRICALLY PACKING-MINIMAL MORAN SETS |
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| LI Yan-zhe and HE Qi-han.QUASISYMMETRICALLY PACKING-MINIMAL MORAN SETS[J].Journal of Mathematics,2017,37(6):1125-1133. |
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| Authors: | LI Yan-zhe and HE Qi-han |
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| Institution: | Colledge of Mathematics and Information Science, Guangxi University, Nanning 530004, China and Colledge of Mathematics and Information Science, Guangxi University, Nanning 530004, China |
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| Abstract: | In this paper, we study the problem of packing-minimality of 1-dimensional Moran sets. By using the principle of mass distribution, we obtain that a large class of Moran sets on the line with packing dimension 1 is quasisymmetrically packing-minimal, which extends a known result of quasisymmetrically packing-minimality. |
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| Keywords: | quasisymmetric mapping packing dimension Moran set |
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