Multivalued superposition operators

zbMath0748.47049MaRDI QIDQ1192086

Jürgen Appell, Espedito De Pascale, Peter P. Zabreĭko

Publication date: 27 September 1992

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1991__86__213_0

zbMATH Keywords

space of measurable functionscontinuity and boundedness conditionsideal function spacesmultivalued superposition operatormultivalued superposition operators

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Set-valued operators (47H04) Selections in general topology (54C65)

Related Items (3)

An elliptic type inclusion problem on the Heisenberg Lie group ⋮ Multivalued superposition operators in ideal spaces of vector functions. III ⋮ The necessity of the carathéodory conditions for the lower semicontinuity in measure of the multivalued nemytskii operator

Cites Work

• Continuous selections. I
• On products of Orlicz spaces
• Multivalued mappings
• Superposition measurability of multivalued functions
• On the extension of von Neumann-Aumann's theorem
• Selected Selection Theorems
• Theoremes de Bornage Pour L'Operateur de Nemyckii Dans Les Espaces Ideaux
• Measurable relations
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