Further remarks on the Nemitskii operator in Hölder spaces
Nugari, Rita
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993), p. 89-95 / Harvested from Czech Digital Mathematics Library

The paper is concerned with the Nemitskii operator in Hölder spaces. Namely conditions are given to ensure acting, continuity, Lipschitz and differentiability properties.

Publié le : 1993-01-01
Classification:  46E35,  47H15,  47H30,  47J05
@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/

Appell J. The superposition operator in function spaces - A survey, Expo. Math. 6 (1975), 209-270. (1975) | MR 0949784

Appell J.; Zabreiko P. Nonlinear superposition operators, Cambridge Tracts in Mathematics 95, Cambridge University Press, 1990. | MR 1066204

Bondarenko V.A.; Zabreiko P. The superposition operator in Hölder function spaces, Soviet Math. Dokl. 16 (1975), 739-743. (1975)

Drábek P. Continuity of Němickij's operator in Hölder spaces, Comment. Math. Univ. Carolinae 16 (1975), 37-57. (1975) | MR 0380547

Goebel M. On Fréchet differentiability of Nemitskij operators acting in Hölder spaces, Glasgow Math. J. 33 (1991). (1991) | MR 1089947

Goebel M. Continuity and Fréchet differentiability of Nemitskij operators in Hölder spaces, Monatshefte für Mathematik 113 (1992), 107-119. (1992) | MR 1154474

Nugari R. Continuity and differentiability properties of the Nemitskij operator in Hölder spaces, Glasgow Math. J. 30 (1988), 59-65. (1988) | MR 0925559

Valent T. Boundary value problems in finite elasticity, Springer Tracts in Natural Philosophy 31, Springer-Verlag, New York, 1988. | MR 0917733