Cantor型集子集的测度

Measure of Subsets of Cantor-type Set

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摘要本文在文献[1]的基础上,考虑了在相容情形下E的各种子集的Hausdorff测度及Pack ing测度性质. Based on the References [ 1 ], this paper mainly showed the Hausdorff dimensions and packing di- mensions of subsets of Cantor - type set E in compatible case.

作者镇方雄彭冬英

机构地区咸宁学院数学与统计学院咸宁职业技术学院图书馆

出处《咸宁学院学报》 2009年第3期11-12,共2页 Journal of Xianning University

关键词 Cantor型集合 Besicovitch集 HAUSDORFF测度 Cantor - type set Besicovitch set Hausdorff measure

分类号 O174 [理学—基础数学]

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参考文献4

1镇方雄,张新明.Cantor型集子集的维数[J].河南师范大学学报（自然科学版）,2007,35(2):23-25. 被引量：1
2S. Ikeda, M. Nakamura. Dimension of measures on perturbed Cantor sets [ J ]. Topology and its Applications. 2002, (122) :223 - 236.
3S. J. Taylor, C. Tricot. Packing measures and its evaluation for a Brownian path. Trans [ J ]. Amer. Math. Soc. 1985, (288) : 679 - 699.
4Ma Jihua. Some Studies of Cookie - cutter - like Sets and Saturates Sets[ M]. Doctor thesis,2002.

二级参考文献8

1Borel E.Sur les probabilites denombrables et leurs applications arithmetiques[J].Rend Circ Mat Palermo,1909,26:247-271.
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4Billingsley P.Ergodic Theory and Information[M].Britain:JohnWiley and Sons Inc,1965.
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1镇方雄,张新明.Cantor型集子集的维数[J].河南师范大学学报（自然科学版）,2007,35(2):23-25. 被引量：1
2燕子宗,梅家荣.一类Cantor型集合交的分形结构[J].荆州师范学院学报,2002,25(2):14-17.
3陆式盘.The Dense Fractal Sets with the Hausdorff Dimension[J].Journal of Mathematical Research and Exposition,2003,23(3):410-412.
4乔锐智.Canto型集合C^m（i1,i2,…ik）的Hausdorff维数和Hausdorf…[J].纯粹数学与应用数学,1995,11(A01):115-119.
5古伟清,曾文曲.一类三维自仿射集的Packing测度[J].广东工业大学学报,2000,17(2):82-89.
6乔锐智.非均匀Cantor型集的Hausdorff维数和测度[J].西北师范大学学报（自然科学版）,1995,31(2):8-11. 被引量：2
7张亦梯.Cantor型集的性质及其应用[J].河池师专学报,1991,11(3):34-36.
8戴朝寿.概率空间（Ω，F，μ）中关于μ的packing维数与经典的实直线上的packing维数之间的关系[J].数学杂志,1995,15(4):517-522.
9姜景莲.图递归集的Packing的测度[J].培训与研究（湖北教育学院学报）,2002,19(2):11-12.
10黄精华,杨球.一类Sierpinski地毯的packing测度[J].湖北师范学院学报（自然科学版）,2005,25(1):36-39.

咸宁学院学报

2009年第3期

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Cantor型集子集的测度

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