Open AccessSuperposition Operator in a Space of Infinitely Differentiable Functions
Author(s) -
Mario Romeo
Publication year - 2008
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1365
Subject(s) - superposition principle , differentiable function , operator (biology) , mathematics , space (punctuation) , pure mathematics , mathematical analysis , computer science , biochemistry , chemistry , repressor , transcription factor , gene , operating system
In this paper we prove a degeneration result for the superposition operator in V (R), a particular space of infinitely differentiable functions which have all derivatives uniformly bounded by a constant that does not depend on the order of derivation.
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