In: Tatra Mountains Mathematical Publications, vol. 78, no. 1
Małgorzata Filipczak - Małgorzata Terepeta
Detaily:
Rok, strany: 2021, 25 - 42
Jazyk: eng
Kľúčové slová:
$\psi$-density point, $\psi$-density topology, similarity of topologies, differentiation basis, base operator, set of finite perimeter, Sobolev space.
Typ článku: Mathematics
Typ dokumentu: scientific paper
O článku:
We examine some generalized densities (called $(ψ, n)$-densities) obtained as a result of strengthening the Lebesgue Density Theorem. It turns out that these notions are the generalizations of superdensity, enhanced density and $m$-density, and have some applications in the theory of sets of finite perimeter and in Sobolev spaces.
Ako citovať:
ISO 690:
Filipczak, M., Terepeta, M. 2021. Generalized densities on $\mathbb{R}n$ and their applications. In Tatra Mountains Mathematical Publications, vol. 78, no.1, pp. 25-42. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0003
APA:
Filipczak, M., Terepeta, M. (2021). Generalized densities on $\mathbb{R}n$ and their applications. Tatra Mountains Mathematical Publications, 78(1), 25-42. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0003
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 14. 10. 2021
Verejná licencia:
https://creativecommons.org/licenses/by-nc-nd/4.0/