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

Proceedings Mathematical Sciences

SAURABH SHRIVASTAVA¹ 

[1] Department of Mathematics, Indian Institute of Science Education and Research, Bhopal 0, India$$

关键词: Hardy--Littlewood maximal function;    one-sided maximal functions;    vector-valued operators;    $A_p$-weights;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown