Superdensity with respect to Radon measure on ${\mathbf R}^n$
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909250638315520 |
|---|---|
| author | Delladio, Silvano |
| author_facet | Delladio, Silvano |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08212 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superdensity with respect to Radon measure on ${\mathbf R}^n$ Delladio, Silvano Functional Analysis 28Axx, 54Axx, 31C40, 46F10 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. |
| title | Superdensity with respect to Radon measure on ${\mathbf R}^n$ |
| topic | Functional Analysis 28Axx, 54Axx, 31C40, 46F10 |
| url | https://arxiv.org/abs/2407.08212 |