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Mapping properties of maximal operators. (English) Zbl 0495.47023

MSC:

47B38 Linear operators on function spaces (general)
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
42B25 Maximal functions, Littlewood-Paley theory
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
28D05 Measure-preserving transformations
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