Geodesic
Further remarks on the Nemitskii operator in Hölder spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 89-95.

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The paper is concerned with the Nemitskii operator in Hölder spaces. Namely conditions are given to ensure acting, continuity, Lipschitz and differentiability properties.
Classification : 46E35, 47H15, 47H30, 47J05
Keywords: Nemitskii operator; Hölder spaces 
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Nugari, Rita. Further remarks on the Nemitskii operator in Hölder spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 89-95. http://geodesic.mathdoc.fr/item/CMUC_1993__34_1_a9/