Geodesic
Continuity and differentiability properties of the Nemitskii operator in Hölder spaces
Glasgow mathematical journal, Tome 30 (1988) no. 1, pp. 59-65

Voir la notice de l'article provenant de la source Cambridge University Press

Let Rn be the n-dimensional Euclidean space with the usual norm denoted by |·| In what follows 蒆 will denote an open bounded subset of Rn, and its closure.For α ∊(0,1], is the space of all functions such that: is called the Holder space with exponent a and is a Banach space when endowed with the norm:where ‖u‖∞ is, as usual, defined by: 
Nugari, Rita. Continuity and differentiability properties of the Nemitskii operator in Hölder spaces. Glasgow mathematical journal, Tome 30 (1988) no. 1, pp. 59-65. doi: 10.1017/S0017089500007023
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[1] 1.Berger, M. S., Nonlinearity and functional analysis, (Academic Press, 1977). Google Scholar

[2] 2.Elworthy, K. D. and Tromba, A. J., Degree theory on Banach manifolds, Proc. Symp. Pure Mathematics 18 (AMS, Providence, 1970). Google Scholar

[3] 3.Valent, T., A property of multiplication in Sobolev spaces. Some applications, Rend. Sent. Mat. Univ. Padova 74 (1985), 63–73. Google Scholar

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