The Bellman Function for Level Sets of Sparse Operators
Classical Analysis and ODEs
2026-03-16 v2
Abstract
We investigate weak-type boundedness of sparse operators with respect to Lebesgue measure. Specifically, we find the Bellman function maximizing level sets of sparse operators (localized to an interval) and use this to find the exact weak- norm of these sparse operators.
Cite
@article{arxiv.2506.12315,
title = {The Bellman Function for Level Sets of Sparse Operators},
author = {Irina Holmes Fay and Zachary H. Pence and John Freeland Small and Xiaokun Zhou},
journal= {arXiv preprint arXiv:2506.12315},
year = {2026}
}
Comments
Final version to appear in IMRN