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Local conical dimensions for measures

2012

AbstractWe study the decay of μ(B(x,r)∩C)/μ(B(x,r)) asr↓ 0 for different kinds of measures μ on ℝnand various conesCaroundx. As an application, we provide sufficient conditions that imply that the local dimensions can be calculated via cones almost everywhere.

PhysicsMathematics - Classical Analysis and ODEsGeneral MathematicsPrimary 28A80 Secondary 28A75 28A12ta111Mathematical analysisClassical Analysis and ODEs (math.CA)FOS: MathematicsAlmost everywhereConical surface

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