A note on the Taylor estimates of iterated paraproducts
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929501474127872 |
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| author | Hoshino, Masato |
| author_facet | Hoshino, Masato |
| contents | Bony's paraproduct is one of the main tools in the theory of paracontrolled calculus. The paraproduct is usually defined via Fourier analysis, so it is not a local operator. In the previous researches [7, 8], however, the author proved that the pointwise estimate like (1.2) holds for the paraproduct and its iterated versions when the sum of the regularities is smaller than 1. The aim of this article is to extend these results for higher regularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10817 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the Taylor estimates of iterated paraproducts Hoshino, Masato Analysis of PDEs Probability Bony's paraproduct is one of the main tools in the theory of paracontrolled calculus. The paraproduct is usually defined via Fourier analysis, so it is not a local operator. In the previous researches [7, 8], however, the author proved that the pointwise estimate like (1.2) holds for the paraproduct and its iterated versions when the sum of the regularities is smaller than 1. The aim of this article is to extend these results for higher regularities. |
| title | A note on the Taylor estimates of iterated paraproducts |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2409.10817 |