On dimension of porous measures

We introduce a notion of mean porosity for measures and obtain dimensional bounds for mean-porous and porous measures. As a corollary we generalize to all porous Borel measures the estimate obtained recently by J.-P. Eckmann, E. Järvenpää, and M. Järvenpää for porous measures satisfying the doubling...

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書目詳細資料
Main Authors: Beliaev, D, Smirnov, S
格式: Journal article
語言:English
出版: 2002