AN INTRODUCTION TO COMPOSITION OPERATORS IN SOBOLEV SPACES

DOI10.32523/2077-9879-2023-14-1-39-54arXiv2204.01118MaRDI QIDQ6114124

Gérard Bourdaud

Publication date: 14 August 2023

Published in: Eurasian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01118

zbMATH Keywords

Sobolev spacescomposition operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items (2)

Composition operators in generalized Morrey spaces ⋮ Composition operators in Grand Lebesgue spaces

Cites Work

• Le calcul fonctionnel dans les espaces de Sobolev. (Functional calculus in Sobolev spaces)
• Every superposition operator mapping one Sobolev space into another is continuous
• Continuity of composition operators in Sobolev spaces
• Sur les fonctions qui operent sur l'espace \(\hat A^ 2\)
• Superposition in homogeneous and vector valued Sobolev spaces
• Complete Characterization of Functions Which Act, Via Superposition, on Sobolev Spaces
• Regularity of the symbolic calculus in Besov algebras
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