Representation of additive functionals on Musielak-Orlicz space of vector valued functions

DOI10.2996/kmj/1138037360zbMath0618.46034OpenAlexW1991703809MaRDI QIDQ1822306

Ryszard Płuciennik

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2996/kmj/1138037360

zbMATH Keywords

integral representationsadditive functionalmultivalued functionlower semicontinuous additive functionalsnon-solid Musielak-Orlicz space

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) Spaces of vector- and operator-valued functions (46E40) Linear operators on function spaces (general) (47B38)

Cites Work

• Orlicz spaces and modular spaces
• Representation of additive functionals on vector-valued normed Köthe spaces
• Integrals, conditional expectations, and martingales of multivalued functions
• On modular spaces
• Measurable relations
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