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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.13130 |
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| _version_ | 1866916105330622464 |
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| author | Villarroya, Paco |
| author_facet | Villarroya, Paco |
| contents | We introduce a new sparse $T1$ theorem that estimates the dual pair associated with a Calderon-Zygmund operator by a sub-bilinear form supported on a sparse family of cubes. The main result in the paper improves previous sparse $T1$ theorems in several ways: it applies to non-homogeneous measures of power growth, it only requires a numerable family of testing conditions, and it can be used to prove boundedness of Calderon-Zygmund operators on weighted spaces for a class of weights larger than the Muckenhoupt $A_p$ weights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13130 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sparse Domination of Singular Bilinear Forms on Non-Homogeneous spaces Villarroya, Paco Classical Analysis and ODEs We introduce a new sparse $T1$ theorem that estimates the dual pair associated with a Calderon-Zygmund operator by a sub-bilinear form supported on a sparse family of cubes. The main result in the paper improves previous sparse $T1$ theorems in several ways: it applies to non-homogeneous measures of power growth, it only requires a numerable family of testing conditions, and it can be used to prove boundedness of Calderon-Zygmund operators on weighted spaces for a class of weights larger than the Muckenhoupt $A_p$ weights. |
| title | Sparse Domination of Singular Bilinear Forms on Non-Homogeneous spaces |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2401.13130 |