{"created":"2025-05-25T12:56:15.154023+00:00","id":2094133,"links":{},"metadata":{"_buckets":{"deposit":"044f7378-08e9-4a09-b01f-ab23cb1a7b81"},"_deposit":{"created_by":14,"id":"2094133","owner":"14","owners":[14],"pid":{"revision_id":0,"type":"depid","value":"2094133"},"status":"published"},"_oai":{"id":"oai:osaka-kyoiku.repo.nii.ac.jp:02094133","sets":["1706784336634:1706784822880:1708600628435:1709458315206"]},"author_link":[],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1996-09-30","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"7","bibliographicPageStart":"1","bibliographicVolumeNumber":"45","bibliographic_titles":[{"bibliographic_title":"大阪教育大学紀要 第III部門 : 自然科学","bibliographic_titleLang":"ja"}]}]},"item_10002_description_6":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"L^p 〓spaces (0<p〓∞) are complete quasi〓normed linear spaces. A function ɡ is called a pointwise multiplier from L^p〓to L^p〓, if the pointwise multiplication ƒg belongs to L^p〓for each ƒ∈L^p〓. We denote by PWM(L^p〓,L^p〓) the set of all pointwise multipliers from L^p〓 to L^p〓 . It is known that, if 1/p〓 +1/p〓 = 1/p〓, then PWM(L^p〓, L^p〓) = L^p〓and ||g||_(op) = ||g||_L^p〓where 〓g〓_(op) is the operator norm of g ∈PWM(L^p〓,L^p〓). The purpose of this paper is to generalize the above equalities to the Lorentz spaces.|ルベーグ可積分関数空間L^p (0<p〓∞) は完備な擬ノルム空間である。関数gがL^p〓からL^p〓への各点的マルチプライヤーであるとは, 各々の ƒ∈L^p〓に対して関数と関数の各点ごとの積ƒgがL^p〓の元になることをいう。L^p〓からL^p〓への各点的マルチプライヤーの全体をPWM(L^p〓,L^p〓) で表す。このとき, 次のことが知られている。もし 1/p〓 +1/p〓 = 1/p〓 ならば, PWM(L^p〓, L^p〓) = L^p〓かつ ||g||_op = ||g||_L^p〓, ここで〓g〓_(op) はg∈PMW(L^p〓,L^p〓) の作用素ノルムを表す。この論文の目的は, この2つの等式を完備な擬ノルム空間であるローレンツ空間に一般化することである。","subitem_description_type":"Other"}]},"item_10002_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.32287/TD00002868","subitem_identifier_reg_type":"JaLC"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"大阪教育大学","subitem_publisher_language":"ja"}]},"item_10002_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00028200","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"03737411","subitem_source_identifier_type":"ISSN"}]},"item_10002_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1708778167539":{"attribute_name":"DCMI資源タイプ","attribute_value_mlt":[{"interim":"Text"}]},"item_1709629085853":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"Article"}]},"item_1709629224652":{"attribute_name":"資料種別(NIIタイプ)","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1709631006745":{"attribute_name":"TD番号","attribute_value_mlt":[{"interim":"TD00002868"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"NAKAI, Eiichi","creatorNameLang":"ja"},{"creatorName":"ナカイ, エイイチ","creatorNameLang":"ja-Kana"},{"creatorName":"中井, 英一","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2009-02-20"}],"filename":"KJ451300001.pdf","filesize":[{"value":"195.2 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"url":"https://osaka-kyoiku.repo.nii.ac.jp/record/2094133/files/KJ451300001.pdf"},"version_id":"c5a9c28e-de82-431e-8f9d-c3c153a41c7c"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"multiplier","subitem_subject_scheme":"Other"},{"subitem_subject":"pointwise multiplier","subitem_subject_scheme":"Other"},{"subitem_subject":"Lorentz space","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_title":"Pointwise Multipliers on the Lorentz Spaces","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Pointwise Multipliers on the Lorentz Spaces","subitem_title_language":"en"},{"subitem_title":"ローレンツ空間における各点的マルチプライヤー","subitem_title_language":"ja"}]},"item_type_id":"40003","owner":"14","path":["1709458315206"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2009-02-20"},"publish_date":"2009-02-20","publish_status":"0","recid":"2094133","relation_version_is_last":true,"title":["Pointwise Multipliers on the Lorentz Spaces"],"weko_creator_id":"14","weko_shared_id":-1},"updated":"2025-05-25T12:56:32.955359+00:00"}