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Locally bounded spaces of vector functions and nonlinear operators therein. (Russian) Zbl 1027.46039
Summary: A unified approach is used to study nonlinear operators similar to the superposition operator and the Uryson integral operator in spaces of measurable vector-valued functions.
MSC:
46E40 Spaces of vector- and operator-valued functions
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.)
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