On an improved restricted reverse weak-type bound for the maximal operator
Abstract
We obtain an improved lower bound for the restricted reverse weak-type estimate of the Hardy-Littlewood maximal operator $M$. This result is applied to the $λ$-median maximal operator $m_λ$ acting on a Banach function space $X$. We show that under certain assumptions on $X$, the boundedness properties of $m_λ$ and $M$ are equivalent.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Advanced Banach Space Theory
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 27 January 2026
- Document type
- Preprint