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arXiv · 2401.15725

Weighted weak-type bounds for multilinear singular integrals

Zoe Nieraeth·Cody B. Stockdale·Brandon Sweeting
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Abstract

We establish analogs of sharp weighted weak-type bounds for $m$-sublinear operators satisfying sparse form domination, including multilinear Calder\'on-Zygmund singular integrals. Our results, which hold for general $\vec{p} \in [1,\infty)^m$ and feature quantitative improvements, rely on new local testing conditions and good-$\lambda$ inequalities. We address weak-type bounds in both the change of measure and multiplier settings.

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BibTeXRIS

Zoe Nieraeth, Cody B. Stockdale, Brandon Sweeting. 2024-01-28. Weighted weak-type bounds for multilinear singular integrals. https://arxiv.org/abs/2401.15725

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