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Weak type inequalities for the maximal ergodic function and the maximal ergodic Hilbert transform in weighted spaces. (English) Zbl 0495.47022

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
28D05 Measure-preserving transformations
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