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

• Fulltext

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

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

• Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• Editorial Note on Continuous Article Publication

Posted on July 25, 2019