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B70-07.pdf | 5.24 MB | Adobe PDF | 見る/開く |
タイトル: | On the boundedness of certain elliptic operators in generalized Morrey spaces (Harmonic Analysis and Nonlinear Partial Differential Equations) |
著者: | Hakim, DennyIvanal Sawano, Yoshihiro |
著者名の別形: | サワノ, ヨシヒロ |
キーワード: | 42B35 42B25 26A33 Bessel potential operators Elliptic equations Gaffney type estimates Generalized Morrey spaces |
発行日: | Apr-2018 |
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: | B70 |
開始ページ: | 131 |
終了ページ: | 148 |
抄録: | In this paper we prove the boundedness of Bessel potential operator on the generalized Morrey space Mφ p (Ω), where Ω is a bounded smooth domain in Rn. We also establish the boundedness of certain elliptic operators on these spaces. To obtain these results, we utilize Gaffney type estimates for these operators on Lebesgue spaces. |
記述: | "Harmonic Analysis and Nonlinear Partial Differential Equations". July 3~5, 2017. edited by Hideo Takaoka and Hideo Kubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2018 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/243754 |
出現コレクション: | B70 Harmonic Analysis and Nonlinear Partial Differential Equations |
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