# Upper Conical density results for general measures on $\mathbb{R}^n$

**Authors:** Marianna Cs\"ornyei, Antti K\"aenm\"aki, Tapio Rajala, Ville Suomala

arXiv: 1701.08602 · 2017-01-31

## TL;DR

This paper investigates conical density properties of general Borel measures in Euclidean spaces, extending known results from Hausdorff and packing measures to more general measures.

## Contribution

It provides new upper conical density results for broad classes of measures, generalizing classical density theorems.

## Key findings

- Established upper conical density bounds for general Borel measures.
- Extended classical density results from Hausdorff and packing measures to broader measures.
- Enhanced understanding of measure distribution in Euclidean spaces.

## Abstract

We study conical density properties of general Borel measures on Euclidean spaces. Our results are analogous to the previously known result on the upper density properties of Hausdorff and packing type measures.

## Full text

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## Figures

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## References

12 references — full list in the complete paper: https://tomesphere.com/paper/1701.08602/full.md

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Source: https://tomesphere.com/paper/1701.08602