Porous measures on <IMG >: Local structure and dimensional properties期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Porous measures on : Local structure and dimensional properties

Authors:	Esa Jä rvenpä ä Maarit Jä rvenpä ä

Affiliation:	Department of Mathematics, P.O. Box 35, University of Jyväskylä, FIN-40351 Jyväskylä, Finland ; Department of Mathematics, P.O. Box 35, University of Jyväskylä, FIN-40351 Jyväskylä, Finland

Abstract:	We study dimensional properties of porous measures on $mathbb{R}^{n}$ . As a corollary of a theorem describing the local structure of nearly uniformly porous measures we prove that the packing dimension of any Radon measure on $mathbb{R}^{n}$ has an upper bound depending on porosity. This upper bound tends to as porosity tends to its maximum value.

Keywords:

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载全文