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均匀Cantor集上填充测度和填充预测度

Packing Measures and Pre-packing Measures of Uniform Cantor Set
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摘要 均匀Cantor集E上均匀测度的分布函数是E的填充纲.本文给出在这个纲的意义下,均匀Cantor集的填充测度和填充预测度相等的充分条件. The distribution function of the uniform measure on a uniform Cantor set E is a packing gauge of E. In this paper, we give a sufficient condition that the packing measure and packing pre-measure of E with respect to that gauge are equal.
作者 危纯
出处 《应用数学》 CSCD 北大核心 2015年第3期712-714,共3页 Mathematica Applicata
基金 国家自然科学基金(11271114 11371156) 青年科学基金(11301162)
关键词 填充测度 填充预测度 均匀Cantor集 Gauge Packing measure Packing pre-measure Uniform Cantor set
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参考文献5

  • 1CsSrnyei M. An example illustrating P(K) P(K) for sets of finite premeasure[J]. Real Analysis Exchange, 2001, 27(1):65-70.
  • 2FENG D J, HUA S, WEN Zhiying. Some relations between packing premeasure and packing mea- sure[J]. Bull. London Math. Soc., 1999; 31(6):665-670.
  • 3Feng Dejun, Rao Hui, Wen Zhiying, Wu Jun(Wuhan University, China).DIMENSIONS AND GAUGES FOR SYMMETRIC CANTOR SETS[J].Analysis in Theory and Applications,1995,11(4):108-110. 被引量:1
  • 4WEI CHUN, WEN Zhiying. On Cantor sets and packing measures[J]. Bull. Korean. Math. Soc, Accepted.
  • 5WEN S Y, WEN Z Y. Some properties of packing measure with doubling gauge[J]. Studia Math., 2004; 165:125-134.

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