6533b835fe1ef96bd129e9a3

RESEARCH PRODUCT

On Upper Conical Density Results

Antti Käenmäki

subject

Geometric measure theoryMathematical analysisMathematics::Metric GeometryDimension functionHausdorff measureDevelopment (differential geometry)Conical surfaceMeasure (mathematics)Mathematics

description

We report a recent development on the theory of upper conical densities. More precisely, we look at what can be said in this respect for other measures than just the Hausdorff measure. We illustrate the methods involved by proving a result for the packing measure and for a purely unrectifiable doubling measure.

https://doi.org/10.1007/978-0-8176-4888-6_4