Weighted norm estimates of noncommutative Calderón-Zygmund operators
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917887645581312 |
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| author | Fan, Wenfei Jiao, Yong Wu, Lian Zhou, Dejian |
| author_facet | Fan, Wenfei Jiao, Yong Wu, Lian Zhou, Dejian |
| contents | This paper is devoted to studying weighted endpoint estimates of operator-valued singular integrals. Our main results include weighted weak-type $(1,1)$ estimate of noncommutative maximal Calderón-Zygmund operators, corresponding version of square functions and a weighted $H_1- L_1$ type inequality. All these results are obtained under the condition that the weight belonging to the Muchenhoupt $A_1$ class and certain regularity assumptions imposed on kernels which are weaker than the Lipschitz condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted norm estimates of noncommutative Calderón-Zygmund operators Fan, Wenfei Jiao, Yong Wu, Lian Zhou, Dejian Operator Algebras Classical Analysis and ODEs 46L52 (Primary) 42B20 (Secondary) This paper is devoted to studying weighted endpoint estimates of operator-valued singular integrals. Our main results include weighted weak-type $(1,1)$ estimate of noncommutative maximal Calderón-Zygmund operators, corresponding version of square functions and a weighted $H_1- L_1$ type inequality. All these results are obtained under the condition that the weight belonging to the Muchenhoupt $A_1$ class and certain regularity assumptions imposed on kernels which are weaker than the Lipschitz condition. |
| title | Weighted norm estimates of noncommutative Calderón-Zygmund operators |
| topic | Operator Algebras Classical Analysis and ODEs 46L52 (Primary) 42B20 (Secondary) |
| url | https://arxiv.org/abs/2501.04951 |