Local operators in some subspaces of the space \(L_0\)

zbMath0999.47051MaRDI QIDQ1589057

Yu. V. Nepomnyashchikh, Arcady Ponosov

Publication date: 7 March 2001

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

local operatorNemytskij operatorspaces of measurable functionsCarathéodory functionscontinuous in measure

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) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

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On \(\sigma\)-algebras related to the measurability of compositions

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