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Note on packing and weak-packing measures with Hausdorff functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2006 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 320, pages 482-488 (issn: 0022-247X, Copyright policy )
Authors: Shengyou Wen; Zhi-Ying Wen;

doi: 10.1016/j.jmaa.2005.06.082

Note on packing and weak-packing measures with Hausdorff functions

Abstract

AbstractFor every Hausdorff function we construct a compact metric space of finite positive weak-packing measure. Also we prove that for every non-doubling Hausdorff function there exists a compact metric space on which the packing and weak-packing measures are not equivalent.

Related Organizations
Keywords

Applied Mathematics, Doubling condition, Hausdorff function, Metric space, Packing and weak-packing measures, Analysis

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
hybrid