The paper is devoted to the autonomous Nemytskij operator (superposition operator) in Hölder spaces k = 0 \alpha \in [0, 1] k \in \mathbb N, \alpha = 1 k \in \mathbb N, \alpha \in (0,1)$ only the acting condition is both necessary and sufficient; the other investigated properties are characterized by necessary and sufficient conditions different from each other.
Cite this article
Manfred Goebel, F. Sachweh, On the Autonomous Nemytskij Operator in Hölder Spaces. Z. Anal. Anwend. 18 (1999), no. 2, pp. 205–229DOI 10.4171/ZAA/878