The T1 theorem for the Hilbert transform fails when p is not 2
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866911788162875392 |
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| author | Alexis, Michel Luna-Garcia, Jose Luis Sawyer, Eric T. Uriarte-Tuero, Ignacio |
| author_facet | Alexis, Michel Luna-Garcia, Jose Luis Sawyer, Eric T. Uriarte-Tuero, Ignacio |
| contents | Given p between 1 and infinity, but not 2, we show that the T1 theorem for the Hilbert transform fails for L^{p}, despite holding for p equal to 2 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_10046 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The T1 theorem for the Hilbert transform fails when p is not 2 Alexis, Michel Luna-Garcia, Jose Luis Sawyer, Eric T. Uriarte-Tuero, Ignacio Functional Analysis Given p between 1 and infinity, but not 2, we show that the T1 theorem for the Hilbert transform fails for L^{p}, despite holding for p equal to 2 |
| title | The T1 theorem for the Hilbert transform fails when p is not 2 |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2301.10046 |