Higher order differentiability properties of the composition and of the inversion operator

DOI10.1016/0019-3577(94)90018-3zbMath0822.46051OpenAlexW1980228953MaRDI QIDQ1842550

Massimo Lanza de Cristoforis

Publication date: 22 October 1995

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(94)90018-3

zbMATH Keywords

autonomous composition operator\(r\)-th order Fréchet differentiabilityinversion operator in Schauder spaces

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (7)

Differentiability properties of the autonomous composition operator in Sobolev spaces ⋮ EIGENVALUES OF THE FINSLER p ‐LAPLACIAN ON VARYING DOMAINS ⋮ A KAM theory for conformally symplectic systems: efficient algorithms and their validation ⋮ Superposition operators and functions of bounded \(p\)-variation. II ⋮ A tribute to Massimo Lanza de Cristoforis ⋮ On the autonomous Nemytskij operator in Hölder spaces ⋮ Functional Calculus in Hölder-Zygmund Spaces

Cites Work

• Étude de quelques algèbres tayloriennes
• A functional decomposition theorem for the conformal representation
• Continuity and Fréchet-differentiability of Nemytskij operators in Hölder spaces
• Locally one-to-one mappings and a classical theorem on schlicht functions
• The large deformation of nonlinearly elastic rings in a two-dimensional compressible flow
• On Fréchet-differentiability of Nemytskij operators acting in Hölder spaces
• Continuity and differentiability properties of the Nemitskii operator in Hölder spaces
• The Large Deformation of Nonlinearly Elastic Tubes in Two-Dimensional Flows
• Konstruktive Methoden der konformen Abbildung
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