The superposition operator in function spaces - A survey

Publication date: 1988

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Sobolev spaces differentiability boundedness compactness Hölder spaces Orlicz spaces analyticity Lipschitz continuity weak continuity Lebesgue spaces Marcinkiewicz spaces Lorentz spaces asymptotic linearity nonlinear superposition operator space AC space BV space C space C k space S

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Equations involving nonlinear operators (general) (47J05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Lipschitz (Hölder) classes (26A16) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear operators and their properties (47H99)

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