6533b82bfe1ef96bd128d91f
RESEARCH PRODUCT
Local conical dimensions for measures
De-jun FengAntti KäenmäkiVille Suomalasubject
PhysicsMathematics - Classical Analysis and ODEsGeneral MathematicsPrimary 28A80 Secondary 28A75 28A12ta111Mathematical analysisClassical Analysis and ODEs (math.CA)FOS: MathematicsAlmost everywhereConical surfacedescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-04-26 |