Search results for "Finite lower density"

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Conical upper density theorems and porosity of measures

2008

Abstract We study how measures with finite lower density are distributed around ( n − m ) -planes in small balls in R n . 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.

Mathematics(all)General Mathematics010102 general mathematicsHausdorff spaceGeometryConical surfaceType (model theory)01 natural sciencesPacking measure010104 statistics & probabilityMathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: MathematicsConical upper density0101 mathematicsPorosityPorosityFinite lower densityMathematicsAdvances in Mathematics
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