Superdensity with respect to Radon measure on \mathbf Rⁿ

2024/07/11 by Silvano Delladio, Delladio, Silvano · 1 citation
Mathematics · #28Axx #31C40 #46F10 #54Axx #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2407.08212

openalex publication_date 2024/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce and investigate superdensity and the density degree of sets with respect to a Radon measure on \mathbf Rⁿ. 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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