Noncommutative weak type $(1,1)$ estimates for Calderón-Zygmund operators with a class of $L_1$-integral conditions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915733712142336 |
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| author | Lai, Xudong Xu, Lingxin |
| author_facet | Lai, Xudong Xu, Lingxin |
| contents | We construct a slightly new noncommutative Calderón-Zygmund decomposition by further splitting the bad function. Using this tool, we prove the weak type (1,1) boundedness of noncommutative Calderón-Zygmund operators under a class of $L_1$-integral conditions, which are close to $L_1$-Dini conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06843 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noncommutative weak type $(1,1)$ estimates for Calderón-Zygmund operators with a class of $L_1$-integral conditions Lai, Xudong Xu, Lingxin Functional Analysis Operator Algebras We construct a slightly new noncommutative Calderón-Zygmund decomposition by further splitting the bad function. Using this tool, we prove the weak type (1,1) boundedness of noncommutative Calderón-Zygmund operators under a class of $L_1$-integral conditions, which are close to $L_1$-Dini conditions. |
| title | Noncommutative weak type $(1,1)$ estimates for Calderón-Zygmund operators with a class of $L_1$-integral conditions |
| topic | Functional Analysis Operator Algebras |
| url | https://arxiv.org/abs/2512.06843 |