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	Some properties of packing measure with doubling gauge
	Wen, SY ; Wen, ZY
	2010-05-06 ; 2010-05-06
关键词	packing measure premeasure gauge function doubling condition Mathematics
中文摘要	Let g be a doubling gauge. We consider the packing measure P-g and the packing premeasure P-0(g) in a metric space X. We first show that if P-0(g)(X) is finite, then as a function of X, P-0(g) has a kind of "outer regularity". Then we prove that if X is complete separable, then lambda sup P-0(g) (F) less than or equal to P-g (B) less than or equal to sup P-0(g) (F) for every Borel subset B of X, where the supremum is taken over all compact subsets of B having finite P-0(g)-premeasure, and lambda is a positive number depending only on the doubling gauge g. As an application, we show that for every doubling gauge function, there is a compact metric space of finite positive packing measure.
语种	英语 ; 英语
出版者	POLISH ACAD SCIENCES INST MATHEMATICS ; WARSAW ; SNIADECKICH 8, 00-950 WARSAW, POLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14211]
专题	清华大学
推荐引用方式 GB/T 7714	Wen, SY,Wen, ZY. Some properties of packing measure with doubling gauge[J],2010, 2010.
APA	Wen, SY,&Wen, ZY.(2010).Some properties of packing measure with doubling gauge..
MLA	Wen, SY,et al."Some properties of packing measure with doubling gauge".(2010).

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