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L^p-MAPPING PROPERTIES FOR SCHRӦDINGER OPERATORS IN OPEN SETS OF R^d
https://chuo-u.repo.nii.ac.jp/records/1091
https://chuo-u.repo.nii.ac.jp/records/1091e289081b-6103-4d1e-ba22-6789c5893c90
名前 / ファイル | ライセンス | アクション |
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Item type | プレプリント / Preprint(1) | |||||
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公開日 | 2015-05-26 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | L^p-MAPPING PROPERTIES FOR SCHRӦDINGER OPERATORS IN OPEN SETS OF R^d | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Schrödinger operators | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | functional calculus | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Kato class | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_1843 | |||||
資源タイプ | other | |||||
著者 |
IWABUCHI, Tsukasa
× IWABUCHI, Tsukasa× MATSUYAMA, Tokio× TANIGUCHI, Koichi |
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著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 23325 | |||||
姓名 | 岩渕, 司 | |||||
著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 23339 | |||||
姓名 | 松山, 登喜夫 | |||||
著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 23341 | |||||
姓名 | 谷口, 晃一 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $H_V = - \\Delta +V$ be a Schr\\"odinger operator on an arbitrary open set $\\Omega \\subset \\mathbb{R}^d$ ($d \\ge 3$), where $\\Delta$ is the Dirichlet Laplacian and the potential $V$ belongs to the Kato class on $\\Omega$. The purpose of this paper is to show $L^p$--boundedness of an operator $\\varphi(H_V)$ for any rapidly decreasing function $\\varphi$ on $\\mathbb{R}$. $\\varphi(H_V)$ is defined by the spectral resolution theorem. As a by-product, $L^p$--$L^q$--estimates for $\\varphi(H_V)$ are also obtained. | |||||
書誌情報 |
数学科プレプリントシリーズ en : PREPRINT SERIES 巻 110, 発行日 2015-05-15 |
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出版者 | ||||||
出版者 | 中央大学理工学部数学科 | |||||
権利 | ||||||
権利情報 | この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | AO | |||||
出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce |