- Tytuł:
- Locally defined operators acting C∞ (A) into C0 (A)
- Autorzy:
- Wróbel, Małgorzata
- Powiązania:
- https://bibliotekanauki.pl/articles/2175527.pdf
- Data publikacji:
- 2022
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
locally defined operators
function of the class C∞ in the Whitney sense
m-times Whitney continuously differentiable function
operator zdefiniowany lokalnie - Opis:
- We investigate the locally defined operators, sometimes called operators with memory, that map the space C∞ (A) of continuously differentiable functions in the sense of Whitney defined on a compact subset A ⊂ Rn into the space of continuous functions defined on the same set A. Using the Whitney Extension Theorem, we give a representation formula for such operators stating that every local operator K : C∞ (A) → C0 (A) is a generalized Nemytskii operator generated by some function h : A × RN → R.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 103--110
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł