Weighted weak-type bounds for multilinear singular integrals
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910536238628864 |
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| author | Nieraeth, Zoe Stockdale, Cody B. Sweeting, Brandon |
| author_facet | Nieraeth, Zoe Stockdale, Cody B. Sweeting, Brandon |
| contents | We establish analogs of sharp weighted weak-type bounds for $m$-sublinear operators satisfying sparse form domination, including multilinear Calderón-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-$λ$ inequalities. We address weak-type bounds in both the change of measure and multiplier settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15725 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted weak-type bounds for multilinear singular integrals Nieraeth, Zoe Stockdale, Cody B. Sweeting, Brandon Classical Analysis and ODEs Functional Analysis 42B20, 42B25 We establish analogs of sharp weighted weak-type bounds for $m$-sublinear operators satisfying sparse form domination, including multilinear Calderón-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-$λ$ inequalities. We address weak-type bounds in both the change of measure and multiplier settings. |
| title | Weighted weak-type bounds for multilinear singular integrals |
| topic | Classical Analysis and ODEs Functional Analysis 42B20, 42B25 |
| url | https://arxiv.org/abs/2401.15725 |