A short proof on the boundedness of triangular Hilbert transform along curves
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866929551763832832 |
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| author | Hsu, Martin Lin, Fred Yu-Hsiang |
| author_facet | Hsu, Martin Lin, Fred Yu-Hsiang |
| contents | We give a short and elementary proof of the boundedness of triangular Hilbert transform along non-flat curves definable in a polynomially bounded o-minimal structure. We also provide a criterion on the multiplier to determine whether the associated fiber-wisely defined bilinear operator admits a smoothing inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15791 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A short proof on the boundedness of triangular Hilbert transform along curves Hsu, Martin Lin, Fred Yu-Hsiang Classical Analysis and ODEs We give a short and elementary proof of the boundedness of triangular Hilbert transform along non-flat curves definable in a polynomially bounded o-minimal structure. We also provide a criterion on the multiplier to determine whether the associated fiber-wisely defined bilinear operator admits a smoothing inequality. |
| title | A short proof on the boundedness of triangular Hilbert transform along curves |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2410.15791 |