Norm inequalities for maximal operators

Abstract In this paper, we introduce a family of one-dimensional maximal operators M κ , m $\mathscr{M}_{\kappa ,m}$ , κ ≥ 0 $\kappa \geq 0$ and m ∈ N ∖ { 0 } $m\in \mathbb{N}\setminus \{0\}$ , which includes the Hardy–Littlewood maximal operator as a special case ( κ = 0 $\kappa =0$ , m = 1 $m=1$ )...

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Bibliographic Details
Main Authors: Salem Ben Said, Selma Negzaoui
Format: Article
Language:English
Published: SpringerOpen 2022-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02874-1