Abstract
In this paper, we study weighted and vector-valued inequalities for one-sided maximal functions. In particular, we give a new proof of l r -valued extension of weighted L p-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 l r -valued extension of the lemma.
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Communicating Editor: Parameswaran Sankaran
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SHRIVASTAVA, S. Weighted and vector-valued inequalities for one-sided maximal functions. Proc Math Sci 126, 359–380 (2016). https://doi.org/10.1007/s12044-016-0293-4
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DOI: https://doi.org/10.1007/s12044-016-0293-4