Interpolation of Matrix Weighted Spaces and Commutator Estimates
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913751058350080 |
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| author | Sánchez, Félix Cabello Corrêa, Willian |
| author_facet | Sánchez, Félix Cabello Corrêa, Willian |
| contents | We present a formula for the interpolation of matrix weighted spaces of vector valued functions via interpolation functors. We apply our formula to the particular case of interpolation of matrix weighted $L^p$ spaces by the real and complex methods, and present consequences regarding the matrix Muckenhoupt classes and commutator estimates of Calderón-Zygmund operators with matrix $BMO$ functions. In particular, we characterize the logarithms of Muckenhoupt weights through higher order commutators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Interpolation of Matrix Weighted Spaces and Commutator Estimates Sánchez, Félix Cabello Corrêa, Willian Functional Analysis We present a formula for the interpolation of matrix weighted spaces of vector valued functions via interpolation functors. We apply our formula to the particular case of interpolation of matrix weighted $L^p$ spaces by the real and complex methods, and present consequences regarding the matrix Muckenhoupt classes and commutator estimates of Calderón-Zygmund operators with matrix $BMO$ functions. In particular, we characterize the logarithms of Muckenhoupt weights through higher order commutators. |
| title | Interpolation of Matrix Weighted Spaces and Commutator Estimates |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2503.10577 |