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arXiv · 2407.08212

Superdensity with respect to Radon measure on ${\mathbf R}^n$

Silvano Delladio
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Abstract

We introduce and investigate superdensity and the density degree of sets with respect to a Radon measure on ${\mathbf R}^n$. Some applications are provided. In particular we prove a result on the approximability of a set by closed subsets of small density degree and a generalization of Schwarz's theorem on cross derivatives.

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Silvano Delladio. 2024-07-11. Superdensity with respect to Radon measure on ${\mathbf R}^n$. https://arxiv.org/abs/2407.08212

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