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Characterizations of reverse weighted inequalities for maximal operators in Orlicz spaces and Stein’s result

Characterizations of reverse weighted inequalities for maximal operators in Orlicz spaces and Stein’s result

We give a characterization of reverse type inequalities on weighted Orlicz spaces of the generalized maximal operator $${M_{\eta}}$$ , associated to a Young function $${\eta}$$ , in terms of an appropriated Dini type condition. Our result improves the one given in [3] and, as a consequence, Stein’s result in [10] …