Demicontinuity of Nemitsky operators on Orlicz-Sobolev spaces

DOI10.1017/S0004972700004123zbMath0638.47064MaRDI QIDQ3779313

Grahame Hardy

Publication date: 1988

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Orlicz-Sobolev spacesuperposition operatorLebesgue-Sobolev spacesdemicontinuity of Nemitsky operatorsgeneralization of the Marcus-Mizel theorem on demicontinuity

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear operators and their properties (47H99)

Cites Work

• Orlicz-Sobolev spaces and imbedding theorems
• Nemitsky operators on Sobolev spaces

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