Further remarks on the Nemitskii operator in Hölder spaces

Rita Nugari

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 1, page 89-95
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Nugari, Rita. "Further remarks on the Nemitskii operator in Hölder spaces." Commentationes Mathematicae Universitatis Carolinae 34.1 (1993): 89-95. <http://eudml.org/doc/247455>.

@article{Nugari1993,
abstract = {The paper is concerned with the Nemitskii operator in Hölder spaces. Namely conditions are given to ensure acting, continuity, Lipschitz and differentiability properties.},
author = {Nugari, Rita},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Nemitskii operator; Hölder spaces; nonlinear Nemetskij operator; Lipschitz continuous; differentiable; Hölder spaces},
language = {eng},
number = {1},
pages = {89-95},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Further remarks on the Nemitskii operator in Hölder spaces},
url = {http://eudml.org/doc/247455},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Nugari, Rita
TI - Further remarks on the Nemitskii operator in Hölder spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 1
SP - 89
EP - 95
AB - The paper is concerned with the Nemitskii operator in Hölder spaces. Namely conditions are given to ensure acting, continuity, Lipschitz and differentiability properties.
LA - eng
KW - Nemitskii operator; Hölder spaces; nonlinear Nemetskij operator; Lipschitz continuous; differentiable; Hölder spaces
UR - http://eudml.org/doc/247455
ER -

References

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  1. Appell J., The superposition operator in function spaces - A survey, Expo. Math. 6 (1975), 209-270. (1975) MR0949784
  2. Appell J., Zabreiko P., Nonlinear superposition operators, Cambridge Tracts in Mathematics 95, Cambridge University Press, 1990. MR1066204
  3. Bondarenko V.A., Zabreiko P., The superposition operator in Hölder function spaces, Soviet Math. Dokl. 16 (1975), 739-743. (1975) 
  4. Drábek P., Continuity of Němickij's operator in Hölder spaces, Comment. Math. Univ. Carolinae 16 (1975), 37-57. (1975) MR0380547
  5. Goebel M., On Fréchet differentiability of Nemitskij operators acting in Hölder spaces, Glasgow Math. J. 33 (1991). (1991) MR1089947
  6. Goebel M., Continuity and Fréchet differentiability of Nemitskij operators in Hölder spaces, Monatshefte für Mathematik 113 (1992), 107-119. (1992) MR1154474
  7. Nugari R., Continuity and differentiability properties of the Nemitskij operator in Hölder spaces, Glasgow Math. J. 30 (1988), 59-65. (1988) MR0925559
  8. Valent T., Boundary value problems in finite elasticity, Springer Tracts in Natural Philosophy 31, Springer-Verlag, New York, 1988. MR0917733

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