| 关于测度的Hausdorff维数的局部化 |
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| 引用本文： | 杜玉坤,曾春燕. 关于测度的Hausdorff维数的局部化[J]. 纯粹数学与应用数学, 2012, 0(2): 238-241 |
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| 作者姓名： | 杜玉坤 曾春燕 |
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| 作者单位： | 广东石油化工学院高州师范学院数学与计算机系,广东高州525200 |
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| 摘 要： | 主要研究测度的豪斯道夫维数的局部化.通过定义一个测度μx,ε,从而给出dim·Hμ在点x的局部化维数dim·Hμ(x).进而得到局部化维数dim·Hμ(x)与dim·Hμ之间的关系,并得到了一个等式关系.
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| 关 键 词： | 测度 豪斯道夫维数 局部化维数 |
The localization of Hausdorff dimension of measures |
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| Du Yukun,Zeng Chunyan. The localization of Hausdorff dimension of measures[J]. Pure and Applied Mathematics, 2012, 0(2): 238-241 |
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| Authors: | Du Yukun Zeng Chunyan |
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| Affiliation: | (Department of Mathematics and Computer,Gaozhou Normal College,Guangdong University of Petrochemical Technology,Gaozhou 525200,China) |
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| Abstract: | This paper considers the localized Hausdorff dimension of measures.We define a measure μx,ε,then the localization of dim*H μ at the point x is defined to be dim*H μ(x).The relations between the localized dimension dim*H μ(x) and dim*H μ are discussed,and an equality is obtained. |
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| Keywords: | measures Hausdorff dimensions the localized dimension |
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