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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B95-03.pdf | 138.62 kB | Adobe PDF | 見る/開く |
| タイトル: | A note on the Taylor estimates of iterated paraproducts (Harmonic Analysis and Nonlinear Partial Differential Equations) |
| 著者: | Hoshino, Masato |
| キーワード: | 35S50 60H15 Littlewood-Paley decomposition Bony's paraproduct Paracontrolled calculus |
| 発行日: | Jul-2024 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B95 |
| 開始ページ: | 37 |
| 終了ページ: | 51 |
| 抄録: | 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. |
| 著作権等: | © 2024 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. |
| URI: | http://hdl.handle.net/2433/293088 |
| 出現コレクション: | B95 Harmonic Analysis and Nonlinear Partial Differential Equations |
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