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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B56-01.pdf | 636.72 kB | Adobe PDF | 見る/開く |
| タイトル: | Remarks on bilinear estimates in the Sobolev spaces (Harmonic Analysis and Nonlinear Partial Differential Equations) |
| 著者: | Fujiwara, Kazumasa Ozawa, Tohru |
| 著者名の別形: | フジワラ, カズマサ オザワ, トオル |
| キーワード: | 26D15 42B25 Pointwise multiplication Sobolev spaces Bilinear estimate |
| 発行日: | Apr-2016 |
| 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: | B56 |
| 開始ページ: | 1 |
| 終了ページ: | 9 |
| 抄録: | The boundedness of integral operators of convolution type in the weighted Lebesgue spaces and the Leibniz rule of order one in one dimensional case are studied. As a byproduct, a simple proof of the fact that the standard Sobolev space H^{s}(mathbb{R}^{n}) forms an algebra for s>n/2 is given. Moreover, a simple proof of the Leibniz rule is also given, where a remarkable cancellation property is observed in the standard Littlewood-Paley argument. |
| 記述: | "Harmonic Analysis and Nonlinear Partial Differential Equations". June 30～July 2, 2014. edited by Hideo Kubo and Mitsuru Sugimoto. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2016 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/241318 |
| 出現コレクション: | B56 Harmonic Analysis and Nonlinear Partial Differential Equations |
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