We introduce and investigate superdensity and the density degree of sets with respect to a Radon measure on 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.
Superdensity with respect to a Radon measure on R^n / Delladio, Silvano. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5454. - 2024, 21:1(2024), pp. 401-426. [10.1007/s00009-023-02542-8]
Superdensity with respect to a Radon measure on R^n
Delladio, Silvano
2024-01-01
Abstract
We introduce and investigate superdensity and the density degree of sets with respect to a Radon measure on 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.File in questo prodotto:
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