The maximal operator on variable Lebesgue spaces: an ${\mathcal A}_{\infty}$-characterization
Classical Analysis and ODEs
2026-03-11 v1 Functional Analysis
Abstract
In this paper we obtain a new boundedness criterion for the maximal operator on variable exponent spaces . It is formulated in terms of the variable exponent analogue of the well known weighted condition.
Cite
@article{arxiv.2603.09388,
title = {The maximal operator on variable Lebesgue spaces: an ${\mathcal A}_{\infty}$-characterization},
author = {Andrei K. Lerner},
journal= {arXiv preprint arXiv:2603.09388},
year = {2026}
}
Comments
14 pages