R. Chiappinelli et R. Nugari, THE NEMITSKII OPERATOR IN HOLDER SPACES - SOME NECESSARY AND SUFFICIENT CONDITIONS, Journal of the London Mathematical Society, 51, 1995, pp. 365-372
The Nemitskii operator in the Holder spaces C-0,C-alpha(<(Omega)over b
ar>) with Omega an open bounded subset of R(n), is studied; necessary
and sufficient conditions are given for boundedness, uniform continuit
y, and uniformly continuous differentiability on bounded sets.