Weak-type maximal function estimates on the infinite-dimensional torus
Classical Analysis and ODEs
2023-03-07 v2
Abstract
We prove necessary and sufficient conditions for the weak- boundedness, for , of a maximal operator on the infinite-dimensional torus. In the endpoint case we obtain the same weak-type inequality enjoyed by the strong maximal function in dimension two. Our results are quantitatively sharp.
Cite
@article{arxiv.2211.11641,
title = {Weak-type maximal function estimates on the infinite-dimensional torus},
author = {Dariusz Kosz and Guillermo Rey and Luz Roncal},
journal= {arXiv preprint arXiv:2211.11641},
year = {2023}
}