The matrix $A_2$ conjecture fails, i.e. $3/2>1$
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911774953963520 |
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| author | Domelevo, Komla Petermichl, Stefanie Treil, Sergei Volberg, Alexander |
| author_facet | Domelevo, Komla Petermichl, Stefanie Treil, Sergei Volberg, Alexander |
| contents | We show that the famous matrix $A_2$ conjecture is false: the norm of the Hilbert Transform in the space $L^2(W)$ with matrix weight $W$ is estimated below by $C[W]_{{A}_2}^{3/2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06961 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The matrix $A_2$ conjecture fails, i.e. $3/2>1$ Domelevo, Komla Petermichl, Stefanie Treil, Sergei Volberg, Alexander Classical Analysis and ODEs 42B20, 42B35, 47A30 We show that the famous matrix $A_2$ conjecture is false: the norm of the Hilbert Transform in the space $L^2(W)$ with matrix weight $W$ is estimated below by $C[W]_{{A}_2}^{3/2}$. |
| title | The matrix $A_2$ conjecture fails, i.e. $3/2>1$ |
| topic | Classical Analysis and ODEs 42B20, 42B35, 47A30 |
| url | https://arxiv.org/abs/2402.06961 |