# On upper conical density results

## TL;DR

This paper advances the theory of upper conical densities by extending results beyond Hausdorff measures to include packing measures and unrectifiable doubling measures, showcasing new methods.

## Contribution

It introduces new upper conical density results for measures other than Hausdorff, specifically for packing and unrectifiable doubling measures.

## Key findings

- Proved upper conical density results for packing measures.
- Established results for purely unrectifiable doubling measures.
- Extended the theory to broader classes of measures.

## Abstract

We report a recent developement on the theory of upper conical densities. More precicely, 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.