• Weighted and vector-valued inequalities for one-sided maximal functions

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      https://www.ias.ac.in/article/fulltext/pmsc/126/03/0359-0380

    • Keywords

       

      Hardy--Littlewood maximal function, one-sided maximal functions, vector-valued operators, $A_p$-weights

    • 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.

    • Author Affiliations

       

      SAURABH SHRIVASTAVA1

      1. Department of Mathematics, Indian Institute of Science Education and Research, Bhopal 462 066, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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