等价度量下的直径型填充测度(英文)  

ON DIAMETER-TYPE PACKING MEASURES WITH RESPECT TO EQUIVALENT METRICS

作　　者：李进军[1] 文胜友[2] 

机构地区：[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

出　　处：《数学杂志》2007年第2期153-156,共4页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(10571063)

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.In this paper, we consider equivalent metrics. We prove that the the diameter-type packing measures with respect to diameter-type packing measures Pρ＇g and pφ,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.

关 键 词：直径型填充测度 纲函数 加倍条件 等价 

分 类 号：O174.12[理学—数学]