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Superdensity with respect to Radon measure on ${\mathbf R}^n$
- 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.
- Subjects :
- Mathematics - Functional Analysis
28Axx, 54Axx, 31C40, 46F10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.08212
- Document Type :
- Working Paper