6533b7d0fe1ef96bd125a4cb

RESEARCH PRODUCT

Conical upper density theorems and porosity of measures

Antti KäenmäkiVille Suomala

subject

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 densityMathematics

description

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.

yearjournalcountryeditionlanguage
2008-02-01Advances in Mathematics
10.1016/j.aim.2007.07.003http://dx.doi.org/10.1016/j.aim.2007.07.003