The shifted bilinear Hilbert transform
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866914411814322176 |
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| author | Becker, Lars Durcik, Polona |
| author_facet | Becker, Lars Durcik, Polona |
| contents | We prove $L^p$ estimates for the shifted bilinear Hilbert transform, with a polylogarithmic bound in the size of the shift. As applications, we obtain $r$-variation estimates for bilinear ergodic averages in the sharp range $r > 2$, a sharp bilinear Hörmander multiplier theorem, and a $\log$-Dini theorem for bilinear singular integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20173 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The shifted bilinear Hilbert transform Becker, Lars Durcik, Polona Classical Analysis and ODEs Dynamical Systems 42B20, 42B15, 37A46, 37A30 We prove $L^p$ estimates for the shifted bilinear Hilbert transform, with a polylogarithmic bound in the size of the shift. As applications, we obtain $r$-variation estimates for bilinear ergodic averages in the sharp range $r > 2$, a sharp bilinear Hörmander multiplier theorem, and a $\log$-Dini theorem for bilinear singular integrals. |
| title | The shifted bilinear Hilbert transform |
| topic | Classical Analysis and ODEs Dynamical Systems 42B20, 42B15, 37A46, 37A30 |
| url | https://arxiv.org/abs/2603.20173 |