一致Cantor集的Minkowski容度

数学物理学报

一致Cantor集的Minkowski容度

蒋锋; 陈世荣

华北电力大学数学系 071003

收稿日期:2005-12-27 修回日期:2007-04-14 出版日期:2007-08-25 发布日期:2007-08-25
通讯作者: 蒋锋
基金资助:
国家自然科学基金(10375027)资助

The Minkowski Content of Uniform Cantor Set

Jiang Feng; Chen Shirong

Department of Mathematics, China North Power Electric University, Hebei 071003

Received:2005-12-27 Revised:2007-04-14 Online:2007-08-25 Published:2007-08-25
Contact: Jiang Feng

摘要/Abstract

摘要： 该文研究了一致cantor集的Minkowski容度，并且计算出了它的上Minkowski容度和下Minkowski容度. 由此推出它的Minkowski容度是不存在的.

关键词: Minkowski容度, 一致Cantor集, Minkowski维数, Minkowski可测

Abstract: In this paper, the authors study the Minkowskicontent of a uniform Cantor set and calculate its upper and lower Minkowski contents. Thus the authors see that its Minkowski content does not exist.

Key words: Minkowski content, Uniform Cantor set, Minkowski dimension, Minkowski measurable

中图分类号:

28A12

蒋锋; 陈世荣. 一致Cantor集的Minkowski容度[J]. 数学物理学报, 2007, 27(4): 641-647.

Jiang Feng; Chen Shirong. The Minkowski Content of Uniform Cantor Set
[J]. Acta mathematica scientia,Series A, 2007, 27(4): 641-647.