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Cantor型集子集的维数 被引量:1

Dimension of Subsets of Cantor-type Set
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摘要 首先定义了Cantor型集合,然后定义了Cantor型集合的Besicovitch子集Bp,并主要考虑了在相容和不相容情形下E的子集的Hausdorff维数. We define the Cantor-type set E first,and then the Besicovitch subset Bp of E. We mainly discuss the dimensions of subsets of Cantor-type set E in aompatible case and an incompatible case.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第2期23-25,共3页 Journal of Henan Normal University(Natural Science Edition)
基金 湖北省教育厅科学技术研究项目(Q200628001)
关键词 Cantor型集合 Besicovitch集 HAUSDORFF测度 HAUSDORFF维数 Cantor-type set Besicovitch set Hausdorff measure Hausdorff dimension
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参考文献8

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同被引文献3

  • 1S. Ikeda, M. Nakamura. Dimension of measures on perturbed Cantor sets [ J ]. Topology and its Applications. 2002, (122) :223 - 236.
  • 2S. J. Taylor, C. Tricot. Packing measures and its evaluation for a Brownian path. Trans [ J ]. Amer. Math. Soc. 1985, (288) : 679 - 699.
  • 3Ma Jihua. Some Studies of Cookie - cutter - like Sets and Saturates Sets[ M]. Doctor thesis,2002.

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