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

Authors :
Delladio, Silvano
Publication Year :
2024

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.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2407.08212
Document Type :
Working Paper