Superdensity with respect to Radon measure on ${\mathbf R}^n$
Functional Analysis
2024-07-12 v1
Abstract
We introduce and investigate superdensity and the density degree of sets with respect to a Radon measure on . 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.
Cite
@article{arxiv.2407.08212,
title = {Superdensity with respect to Radon measure on ${\mathbf R}^n$},
author = {Silvano Delladio},
journal= {arXiv preprint arXiv:2407.08212},
year = {2024}
}