Representation theorem for locally defined operators in the space of Whitney differentiable functions

DOI10.1007/s00229-009-0283-2zbMath1173.47044OpenAlexW2000719454MaRDI QIDQ833083

Janusz Matkowski, Małgorzata Wróbel

Publication date: 11 August 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0283-2

zbMATH Keywords

superposition operatorlocally defined operatorWhitney differentiabilityspaces of smooth functions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items (7)

UNIFORMLY BOUNDED COMPOSITION OPERATORS ⋮ Representation theorem for local operators in the space of continuous and monotone functions ⋮ Uniformly bounded composition operators in the Banach space of bounded \((p, k)\)-variation in the sense of Riesz-Popoviciu ⋮ Uniformly bounded composition operators in the Banach space of absolutely continuous functions ⋮ Locally defined operators in the space of functions of bounded \(\varphi \)-variation ⋮ Locally defined operators and a partial solution of a conjecture ⋮ Locally defined operators in the space of functions of bounded Riesz-variation

Cites Work

• Locally defined operators in the space of Whitney differentiable functions
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
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