Abstract
In this paper, we study weighted and vector-valued inequalities for one-sided maximal functions. In particular, we give a new proof of lr-valued extension of weighted Lp-inequalities for one-sided maximal functions. In the process, we prove an analogue of the well-known Fefferman–Stein’s weighted lemma in the context of one-sided maximal functions. Further, we also study lr-valued extension of the lemma.
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