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Notes on modular function spaces. II. (English) Zbl 0747.46022
Summary: This paper is a continuation of part I (the same issue review below). Section 6 deals with a $$\Delta_ 2$$-condition defined for modular function spaces. The case of non-monotone convex function modulars is considered in Section 7. Section 8 is a brief exposition of some special cases and examples; it contains many references to the mathematical literature. Section 9 deals with countably modulared function spaces and Sectin 10 collects some results about interpolation in modular function spaces.

##### MSC:
 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46A80 Modular spaces 46E40 Spaces of vector- and operator-valued functions