Edgar, G. A. Centered densities and fractal measures. (English) Zbl 1112.28004 New York J. Math. 13, 33-87 (2007). Summary: We have collected definitions and basic results for the (centered ball) density in metric space with respect to an arbitrary Hausdorff function. We have kept the definitions general: we do not assume the Hausdorff functions are continuous or blanketed, and we do not assume the metric space is a subset of Euclidean space. We discuss the covering measure (= centered Hausdorff measure) and packing measure defined from these densities. Cited in 29 Documents MathOverflow Questions: Does finite Hausdorff dimension imply finite packing dimension? MSC: 28A78 Hausdorff and packing measures 28A80 Fractals Keywords:variation; Hausdorff function PDFBibTeX XMLCite \textit{G. A. Edgar}, New York J. Math. 13, 33--87 (2007; Zbl 1112.28004) Full Text: EuDML Link