The paper is concerned with the Nemitskii operator in Hölder spaces. Namely conditions are given to ensure acting, continuity, Lipschitz and differentiability properties.
@article{118559, author = {Rita Nugari}, title = {Further remarks on the Nemitskii operator in H\"older spaces}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {34}, year = {1993}, pages = {89-95}, zbl = {0806.47061}, mrnumber = {1240207}, language = {en}, url = {http://dml.mathdoc.fr/item/118559} }
Nugari, Rita. Further remarks on the Nemitskii operator in Hölder spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 89-95. http://gdmltest.u-ga.fr/item/118559/
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