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| 关于广义齐次自相似集上Hausdorff测度的一个特征 | |
| 引用本文： | 瞿成勤,周作领. 关于广义齐次自相似集上Hausdorff测度的一个特征[J]. 数学年刊A辑(中文版), 2003, 0(1) |
| 作者姓名： | 瞿成勤 周作领 |
| 作者单位： | 北京海军计算技术研究所，中山大学岭南学院 北京 100841，广州 510275 |
| 基金项目： | 国家自然科学基金，晨兴数学中心资助的项目 |
| 摘 要： | 设E是Hausdorff测度正有限的广义齐次自相似集,本文证明了s维Hausdorff测度是E上唯一的非扩张概率测度. |
| 关 键 词： | 广义齐次自相似集 Hausdorff测度 非扩张测度 |
ON THE CHARACTERIZATION OF THE HAUSDORFF MEASURE ON GENERALIZED HOMOGENEOUS SELF-SIMILAR SETS |
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| QU Chengqin ZHOU ZuolingNaval institute of Computing Technology,Beijing ,China. E-mail: chengqinqu@.net Lingnan College,Zhongshan University,Guangzhou ,China.. ON THE CHARACTERIZATION OF THE HAUSDORFF MEASURE ON GENERALIZED HOMOGENEOUS SELF-SIMILAR SETS[J]. Chinese Annals of Mathematics, 2003, 0(1) | |
| Authors: | QU Chengqin ZHOU ZuolingNaval institute of Computing Technology Beijing China. E-mail: chengqinqu@.net Lingnan College Zhongshan University Guangzhou China. |
| Affiliation: | QU Chengqin ZHOU ZuolingNaval institute of Computing Technology,Beijing 100841,China. E-mail: chengqinqu@163.net Lingnan College,Zhongshan University,Guangzhou 510275,China. |
| Abstract: | Let E be a generalized homogeneous self-similar set which is s-set, in this paper, the authous prove that the normalized s-dimensional Hausdorff measure on E is the unique non-expansive probability measure on ?. |
| Keywords: | Generalized homogeneous self-similar set Hausdorff measure Non-expansive probability measure |
| 本文献已被 CNKI 等数据库收录！ | |