N. Patzschke and M. Z ahle, Fractional di erentiation in the self-ane case III { The density of the Cantor set, Proc. Amer. Math. Soc., 117(1993), 137-144. Home/Search Document Not in Database Summary Related Articles Check |
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Symmetry Properties of Average Densities and Tangent Measure.. - Mörters (1996) (1 citation) (Correct)
....exists if D ( x) D ( x) and in this case the joint value is denoted by D ( x) Bedford and Fisher show that the average density exists almost everywhere for Hausdor measure on hyperbolic Cantor sets and zero sets of Brownian motion. Recently other authors (see for example [5] [19] and [7] have extended this result to various other classes of fractal measures with self similarity properties. Average densities have also been used for the investigation of general measures with positive lower and nite upper densities. For example, Falconer and Springer in [6] and Marstrand ....
N. Patzschke and M. Z ahle, Fractional di erentiation in the self-ane case III { The density of the Cantor set, Proc. Amer. Math. Soc., 117(1993), 137-144.
Symmetry Properties of Average Densities and Tangent Measure.. - Mörters (Correct)
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N. Patzschke and M. Z ahle, Fractional di erentiation in the self-ane case III { The density of the Cantor set, Proc. Amer. Math. Soc., 117(1993), 137-144.
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