| 等价度量下的直径型填充测度 |
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| 引用本文： | 李进军,文胜友.等价度量下的直径型填充测度[J].数学杂志,2007,27(2):153-156. |
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| 作者姓名： | 李进军 文胜友 |
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| 作者单位： | 1. 漳州师范学院数学系,福建漳州,363000
2. 湖北大学数学与计算机科学学院,湖北武汉,430062 |
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| 摘 要： | 本文研究了在等价度量下,直径型填充测度之间的关系,证明了对任意紧度量空间(X,ρ),Pρ,g和Pcρ,g等价当且仅当纲函数g满足加倍条件.所得结论揭示了填充测度与加倍条件之间的关系.
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| 关 键 词： | 直径型填充测度 纲函数 加倍条件 等价 |
| 文章编号： | 0255-7797（2007）02-0153-04 |
| 修稿时间： | 2005-03-162005-09-25 |
ON DIAMETER-TYPE PACKING MEASURES WITH RESPECT TO EQUIVALENT METRICS |
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| LI Jin-jun,WEN Sheng-you.ON DIAMETER-TYPE PACKING MEASURES WITH RESPECT TO EQUIVALENT METRICS[J].Journal of Mathematics,2007,27(2):153-156. |
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| Authors: | LI Jin-jun WEN Sheng-you |
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| Institution: | 1. Dept. of Math., Zhangzhou Normal University, Zhangzhou 363000, China;2. College of Math. and Computer Science, Hubei University, Wuhan 430062, China |
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| Abstract: | In this paper,we consider the diameter-type packing measures with respect to equivalent metrics.We prove that the diameter-type packing measures P(ρ,g) and P(cρ,g) are equivalent for any compact metric space(X,ρ) if and only if the gauge function g satisfies the doubling condition.The results reveal the relation between packing measure and doubling condition. |
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| Keywords: | diameter-type packing measure gauge function doubling condition equivalence |
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