- Tytuł:
- Uniformly bounded Nemytskij operators acting between the Banach spaces of generalized Hölder functions
- Autorzy:
-
Lupa, M.
Wróbel, M. - Powiązania:
- https://bibliotekanauki.pl/articles/122593.pdf
- Data publikacji:
- 2017
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Nemytskij operator
generalized Hölder condition
uniformly bounded mapping
funkcja Holdera
operator Niemyckiego
jednostajnie ograniczone odwzorowanie
jednostajnie ciągłe odwzorowan - Opis:
- We investigate the Nemytskij (composition, superposition) operators acting between Banach spaces of r -times differentiable functions defined on the closed intervals of the real line with the r-derivatives satisfying a generalized Hölder condition. The main result says that if such a Nemytskij operator is uniformly bounded (in a special case uniformly continuous) then its generator is an affine function with respect to the second variable, i.e., the Matkowski representation holds. This extends an earlier result where an operator is assumed to be Lipschitzian.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 4; 37-45
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł