Composing infinitely differentiable functions

DOI10.1007/BF02571371zbMath0712.47054MaRDI QIDQ748856

Jürgen Appell, V. I. Nazarov, Peter P. Zabreĭko

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174252

zbMATH Keywords

continuityboundednesscompactness propertiesRoumieu classesnonlinear superposition operatorprojective and inductive limits

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Banach spaces of continuous, differentiable or analytic functions (46E15) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items

Composition in ultradifferentiable classes, Superposition in classes of ultradifferentiable functions, Superposition operator in a space of infinitely differentiable functions

Cites Work

• Lipschitz and Darbo conditions for the superposition operator in ideal spaces
• Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator
• Lipschitz and Darbo conditions for the superposition operator in some non-ideal spaces of smooth functions
• Sur quelques extensions de la notion de distribution
• The Formula of FAA Di Bruno
• On the superpostition of functions in carleman classes
• Formulae for high derivatives of composite functions
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