Weak (1,1) bounded operators
Functional Analysis
2025-12-02 v1 Classical Analysis and ODEs
Abstract
We construct a class of Fourier multipliers whose associated operators are weak (1,1) bounded but fail to be weak (p, p) bounded for any 1 < p \leq \infty. Moreover, we show that this result is sharp.
Cite
@article{arxiv.2512.00636,
title = {Weak (1,1) bounded operators},
author = {Arup Maity},
journal= {arXiv preprint arXiv:2512.00636},
year = {2025}
}
Comments
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