Conical upper density theorems and porosity of measures |
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| Authors: | Antti Kä enmä ki,Ville Suomala |
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| Affiliation: | Department of Mathematics and Statistics, P.O. Box 35 (MaD), FI-40014 University of Jyväskylä, Finland |
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| Abstract: | We study how measures with finite lower density are distributed around (n−m)-planes in small balls in Rn. We also discuss relations between conical upper density theorems and porosity. Our results may be applied to a large collection of Hausdorff and packing type measures. |
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| Keywords: | 28A75 28A78 28A15 |
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