Some Remarks on Nonlinear Composition Operators in Spaces of Differentiable Functions

Appell, J. ; Jesús, Z. ; Mejía, O.

Bollettino dell'Unione Matematica Italiana, Tome 4 (2011), p. 321-336 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

In this note we study the nonlinear composition operator $f \mapsto g \circ f$ in various spaces of differentiable functions over an interval. It turns out that this operator is always bounded in the corresponding norm, whenever it maps such a space into itself, but continuous only in exceptional cases.

Détail

Publié le : 2011-10-01

MR 2906764 | Zbl 1229.47086

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