Lipschitz and Darbo conditions for the superposition operator in some non-ideal spaces of smooth functions

DOI10.1007/BF01759305zbMath0745.47053MaRDI QIDQ1175923

Jürgen Appell, Espedito De Pascale

Publication date: 25 June 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Hausdorff measure of noncompactnesssuperposition operatorBanach space of differentiable functionsLipschity and Darbo conditions for the superposition operator in some non-ideal spaces of smooth functions

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Lipschitz (Hölder) classes (26A16) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items

Composing infinitely differentiable functions

Cites Work

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• Composing Functions of Bounded Variation
• On the Invariance of Certain Classes of Functions Under Composition
• The radius of the essential spectrum

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