The maximal operator on variable Lebesgue spaces: an ${\mathcal A}_{\infty}$-characterization
Abstract
In this paper we obtain a new boundedness criterion for the maximal operator $M$ on variable exponent spaces $L^{p(\cdot)}$. It is formulated in terms of the variable exponent analogue of the well known weighted $A_{\infty}$ condition.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Nonlinear Partial Differential Equations
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 10 March 2026
- Language
- EN
- Document type
- Preprint