Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Journal of Applied Mathematics and Computational Mechanics

1 2017

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: uniformly bounded mapping

Sortuj według:

Ogranicz wyniki do:

Uniformly bounded Nemytskij operators acting between the Banach spaces of generalized Hölder functions

Lupa M., Wróbel M.

Journal of Applied Mathematics and Computational Mechanics

2017

Vol. 16, nr 4

37--45

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.