Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918047330074624 |
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| author | Mulherkar, Siddharth |
| author_facet | Mulherkar, Siddharth |
| contents | A Mizohata-Takeuchi type estimate is a type of weighted Fourier restriction estimate. Using tools from high dimensional probability, we construct a large class of weights that satisfy sharp estimates of Mizohata-Takeuchi type. One can interpret our result as saying that with high probability, a generic weight satisfies a sharp inequality of Mizohata-Takeuchi type (up to an epsilon-loss). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type Mulherkar, Siddharth Classical Analysis and ODEs Functional Analysis Probability A Mizohata-Takeuchi type estimate is a type of weighted Fourier restriction estimate. Using tools from high dimensional probability, we construct a large class of weights that satisfy sharp estimates of Mizohata-Takeuchi type. One can interpret our result as saying that with high probability, a generic weight satisfies a sharp inequality of Mizohata-Takeuchi type (up to an epsilon-loss). |
| title | Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type |
| topic | Classical Analysis and ODEs Functional Analysis Probability |
| url | https://arxiv.org/abs/2506.05624 |