Boundedness of the superposition operator in generalized Orlicz spaces of vector-valued functions.(English)Zbl 0587.46027

Boundedness properties of a certain nonlinear operator called superposition operator, in generalized Orlicz spaces is considered.
Reviewer: J.P.R.Christensen

MSC:

 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 47H99 Nonlinear operators and their properties