ダウンロード数: 97
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
B65-10.pdf | 7.28 MB | Adobe PDF | 見る/開く |
タイトル: | Several results in classical and modern harmonic analysis in mixed Lebesgue spaces (Harmonic Analysis and Nonlinear Partial Differential Equations) |
著者: | Torres, Rodolfo H. Ward, Erika L. |
キーワード: | 42B20 47B07 42B25 47G99 Mixed Lebesgue spaces vector valued Calderón-Zygmund theory Leibniz's rule for fractional derivatives null forms Littlewood-Paley theory wavelets sampling theorem |
発行日: | May-2017 |
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: | B65 |
開始ページ: | 159 |
終了ページ: | 175 |
抄録: | Mixed Lebesgue spaces have attracted the interest of harmonic analysts since the early sixties. These spaces naturally appear when considering functions with different quantitive behavior on different sets of variables on which they depend. For example, this is the case when studying functions with physical relevance like the solutions of partial differential equations with time and space dependence. Mixed Lebesgue spaces can also be seen as vector-valued Lebesgue spaces. Using this point of view we revisit some classical results in the literature and survey newer ones about Leibniz's rule for fractional derivatives, bilinear null forms, sampling, Calderóns reproducing formula, and wavelets in the context of mixed norms. |
記述: | "Harmonic Analysis and Nonlinear Partial Differential Equations". July 4~6, 2016. edited by Hideo Kubo and Hideo Takaoka. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/243687 |
出現コレクション: | B65 Harmonic Analysis and Nonlinear Partial Differential Equations |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。