【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.更多还原

【Abstract】 In this paper, we consider the diameter-type packing measures with respect to equivalent metrics. We prove that the diameter-type packing measures Pρ,g and Pcρ,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.更多还原