{"created":"2023-05-15T13:44:38.398847+00:00","id":1091,"links":{},"metadata":{"_buckets":{"deposit":"6de83d1a-6ed9-4789-9ed8-849b373781ce"},"_deposit":{"created_by":1,"id":"1091","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"1091"},"status":"published"},"_oai":{"id":"oai:chuo-u.repo.nii.ac.jp:00001091","sets":["88"]},"author_link":["23339","23325","23341","23340"],"item_2_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2015-05-15","bibliographicIssueDateType":"Issued"},"bibliographicVolumeNumber":"110","bibliographic_titles":[{"bibliographic_title":"数学科プレプリントシリーズ"},{"bibliographic_title":"PREPRINT SERIES","bibliographic_titleLang":"en"}]}]},"item_2_description_20":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_description_6":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_type":"Abstract"}]},"item_2_full_name_5":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"23325","nameIdentifierScheme":"WEKO"}],"names":[{"name":"岩渕, 司"}]},{"nameIdentifiers":[{"nameIdentifier":"23339","nameIdentifierScheme":"WEKO"}],"names":[{"name":"松山, 登喜夫"}]},{"nameIdentifiers":[{"nameIdentifier":"23341","nameIdentifierScheme":"WEKO"}],"names":[{"name":"谷口, 晃一"}]}]},"item_2_publisher_9":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"中央大学理工学部数学科"}]},"item_2_rights_16":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"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。"}]},"item_2_version_type_21":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"IWABUCHI, Tsukasa","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23325","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"MATSUYAMA, Tokio","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23339","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"TANIGUCHI, Koichi","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23340","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2019-04-22"}],"displaytype":"detail","filename":"MATH_preprint~110.pdf","filesize":[{"value":"576.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"本文を見る(PDFファイル)","url":"https://chuo-u.repo.nii.ac.jp/record/1091/files/MATH_preprint~110.pdf"},"version_id":"a605ac79-bb46-4f4c-b793-cd4a359ac143"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Schrödinger operators","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"functional calculus","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Kato class","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"other","resourceuri":"http://purl.org/coar/resource_type/c_1843"}]},"item_title":"L^p-MAPPING PROPERTIES FOR SCHRӦDINGER OPERATORS IN OPEN SETS OF R^d","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"L^p-MAPPING PROPERTIES FOR SCHRӦDINGER OPERATORS IN OPEN SETS OF R^d","subitem_title_language":"en"}]},"item_type_id":"2","owner":"1","path":["88"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-05-26"},"publish_date":"2015-05-26","publish_status":"0","recid":"1091","relation_version_is_last":true,"title":["L^p-MAPPING PROPERTIES FOR SCHRӦDINGER OPERATORS IN OPEN SETS OF R^d"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-05-15T18:49:55.888100+00:00"}